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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Grade 6 |
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Order of Operations: Apply
The learner will be able to
correctly use the rules for order of operations. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Application |
Introduce |
Applications of Learning, January 1999, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grade 6 |
Classroom
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Order of Operations: Determine
The learner will be able to
determine the correct order of calculations when more than one operation is to be performed.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Application |
Introduce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Properties: Number System
The learner will be able to
apply the properties of the number system to evaluate the validity of results. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Evaluation |
Introduce |
Higher-Order Learning, January 1999, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grade 6 |
Classroom
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Multiple Step Story Problems
The learner will be able to
solve multiple step word problems using whole numbers and decimals. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiple-step Problems |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Inequalities
The learner will be able to
solve for the value of a variable given in an inequality and as shown on a graph by manipulating the inequality correctly.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inequalities |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Basic Operations: Whole Numbers
The learner will be able to
explain the concepts involved in basic operations. NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Basic Operations |
Comprehension |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Inverse Operations: Checking
The learner will be able to
check the correctness of an answer by using the inverse operation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inverse Operations |
Comprehension |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Inverse Operations
The learner will be able to
""work backwards" to solve story problems. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Solution Methods: Applying
The learner will be able to
use mental arithmetic and estimation to solve problems. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Comprehension |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Solution Tools: Analysis
The learner will be able to
analyze which solution tool would best solve a problem: calculator, pencil and paper, mental math. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Communicating: Graphical Forms/Solution
The learner will be able to
use graphical forms to show a solution to a probability problem, to provide visual or condensed representation of an idea, to explain mathematical concepts, and to express real-world situations such as population variance, grades, marketing materials, sports statistics, and cultural trends. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communicating |
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Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Analyzing: Graphical Forms
The learner will be able to
demonstrate the ability to interpret graphical forms of data by articulating the details, facts, and concepts presented in the forms, and by evaluating the reasonableness of specific graphical forms given the types of information presented in the forms. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
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Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Circle Graphs: Predictions
The learner will be able to
make predictions using information given in a circle graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circle Graphs |
Synthesis |
Reinforce |
Higher-Order Learning, January 1999, Grade 6 |
Classroom
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Circle Graphs: Sum
The learner will be able to
determine the number represented by the sum of two sections of a circle graph given in percents. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circle Graphs |
Comprehension |
Reinforce |
Foundations of Learning, January 1999, Grade 6 |
Classroom
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Circle Graphs: Interpret
The learner will be able to
draw logical conclusions from interpreting data in a circle graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circle Graphs |
Analysis |
Reinforce |
Applications of Learning, January 1999, Grade 6 |
Classroom
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Bar Graphs: Identify/Compare
The learner will be able to
identify or compare amounts in a bar graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Knowledge |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Bar Graphs: Analyze
The learner will be able to
analyze simple stacked graphs (bar and pictographs). (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Analysis |
Master |
Applications of Learning, January 1999, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Grade 6 |
Classroom
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Bar Graphs: Addition/Subtraction
The learner will be able to
add or subtract information presented in the form of a bar graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Comprehension |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Line Graphs
The learner will be able to
identify, compare, and analyze points on a line graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Line Graphs |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grade 6 |
Classroom
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Line/Circle Graphs
The learner will be able to
interpret data from circle/pie and line graphs, including identifying values from the graph, determining that addition or subtraction is needed to find an answer, and comparing values from the graph. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Line Graphs |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grade 6 |
Classroom
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Table/Graph: Properties/Relationships
The learner will be able to
identify properties and relationships from tables and graphs. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grade 6 |
Classroom
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Logical Reasoning: Draw Conclusion
The learner will be able to
draw a logical conclusion based on data presented in graphical format. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Logical Reasoning |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Graphs: Construct
The learner will be able to
construct charts and graphs. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing |
Synthesis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Graphs/Maps: Interpretation
The learner will be able to
read and interpret maps, scattergrams, box and whisker graphs, and stem-and-leaf charts. (NJCCCS 4.1, 4.2, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Problem Solving: Application
The learner will be able to
use manipulatives, calculators, and symbols to solve real-world scenario problems which call for the rounding, addition, subtraction, multiplication, and division of decimals. This process includes evaluating a given problem scenario, identifying the problem, determining the relevant elements and the required operation, setting up a number sentence, and solving the problem. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
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Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Number Sense: Place Value
The learner will be able to
articulate (in terms of place value) the reasoning behind placing the decimal point in the appropriate position when evaluating number sentences involving operations on decimals. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sense |
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Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Addition Story Problems
The learner will be able to
solve story problems involving adding 3 numbers with decimals. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Subtraction Story Problems
The learner will be able to
solve story problems involving subtracting decimals. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Decimals |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Addition/Subtraction Decimals
The learner will be able to
solve either a story or numerical problem requiring addition or subtraction of decimals. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add/Subtract Decimals |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Multiplication Story Problems
The learner will be able to
solve real-world story problems by determining that multiplication is required, by regrouping the numbers, and by multiplying the appropriate decimals up to the hundredths position. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Decimals |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Multiplication/Division Decimals
The learner will be able to
multiply, divide, and compare decimals using the correct order of operations when necessary. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply/Divide Decimals |
Analysis |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Decimals: Rounding
The learner will be able to
round decimal numbers to the nearest whole number, tenths, and hundredths place, in the context of a problem involving money amounts. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Money: Story Problems/Add/Subtract
The learner will be able to
solve story problems which involve the addition and subtraction of money amounts written in decimal form. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Money |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Money: Story Problems/Multiply/Divide
The learner will be able to
solve story problems which involve the multiplication and division of money amounts written in decimal form. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Money |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Division Story Problems
The learner will be able to
solve story problems by dividing decimals up to the hundredths position. (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Divide Decimals |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Compare Decimals: Up to 0.0001
The learner will be able to
compare decimals up to the ten-thousandths place (0.0001). (NJCCCS 4.1, 4.2).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Compare Decimals |
Analysis |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Problem Solving
The learner will be able to
demonstrate a sense of how operations with fractions manipulate numbers by recognizing a real-world situation which calls for specific operations (addition, subtraction, multiplication, or division) with fractions, evaluating the situation, articulating the nature and elements of the problem, and solving the problem without being cued that the calculations involved would require fractions. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Connecting: Using Fractions
The learner will be able to
make connections between the functions of numerators and the functions of denominators by exploring fractions (i.e., drawing conclusions about fractions a/b, b/c, c/b, a/c, b/a, and c/a, when a > b > c). (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
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Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Number Sense: Using Fractions
The learner will be able to
have an intuitive sense of fractions, the portions they represent, and how fractions are used to solve problems and to communicate proportions and ideas in real-world settings. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sense |
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Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Subtraction Story Problems
The learner will be able to
subtract two fractions, either mixed fractions, same denominators, or with different denominators, in the context of a story problem. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Fractions |
Application |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Addition/Subtraction Fractions
The learner will be able to
solve story problems requiring the addition or subtraction of fractions and reduce answers to lowest terms. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add/Subtract Fractions |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Multiply 2 Fractions
The learner will be able to
multiply 2 fractions. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Fractions |
Knowledge |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Multiplication Story Problems
The learner will be able to
utilize multiplication of fractions to determine the fractional part of a whole number. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Fractions |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Divide 2 Fractions
The learner will be able to
divide two fractions. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Divide Fractions |
Knowledge |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Division Story Problems
The learner will be able to
solve real-world scenario problems where the division of fractions, mixed fractions, and whole numbers is involved. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Divide Fractions |
Application |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Compare Fractions: To 1
The learner will be able to
compare a fraction to 1. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Compare Fractions |
Analysis |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Compare Fractions: Equivalent/Mixed
The learner will be able to
compare 2 equivalent fractions and equivalent and mixed fractions. (NJCCCS 4.1).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Compare Fractions |
Analysis |
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Geometry Terms: Communicating
The learner will be able to
communicate solutions to problems across the mathematics curriculum using the language of geometry where appropriate. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Geometric Vocabulary |
|
Reinforce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Problem Solving: Geometric Properties
The learner will be able to
solve real-world problems which require logical deductions and reasoning based on geometric properties without being cued about the properties which would apply to the problem, and utilize geometric concepts as proof or evidence of a self-generated solution theory. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Introduce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Communicating: Spatial Sense
The learner will be able to
develop spatial sense by speaking, writing, and using models and diagrams to explain such terms and concepts as transformation, congruency, similarity, points, lines, and the properties of two- and three-dimensional figures. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communicating Spatial Sense |
|
Introduce |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Solids: Cube
The learner will be able to
identify a cube. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Three-Dimensional Solids |
Knowledge |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Solids: Sphere
The learner will be able to
identify a sphere. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Three-Dimensional Solids |
Knowledge |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
Classroom
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Figures: Identify
The learner will be able to
identify squares, circles, triangles, rectangles, ovals, cubes, spheres. (NJCCCS 4.2, 4.4, 4.6).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Figures: Identify |
Knowledge |
Master |
National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Sixth Grade |
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