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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - CA: Grade 6 |
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Expressions: Write/Evaluate
The learner will be able to
write and/or evaluate algebraic expressions based on a certain scenario, and apply at most, three variables.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.2 |
Classroom
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Expressions: Order of Operations
The learner will be able to
use the concept of order of operations, as well as properties (commutative, associative, distributive) to determine the value of expressions, justifying all steps in the process.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.3 |
Classroom
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Identify Sentence
The learner will be able to
identify the number sentence to be used in solving a word problem.
| Strand |
Source |
Activities |
| Identify Sentence |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Missing Element
The learner will be able to
identify the missing part of an equation.
| Strand |
Source |
Activities |
| Missing Information |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Missing Elements Order of Operations
The learner will be able to
solve for the missing element in a given equation, using the correct order of operations when necessary.
| Strand |
Source |
Activities |
| Missing Information |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
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 |
Source |
Activities |
| Order of Operations |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Order of Operations: Solve/Calculator
The learner will be able to
obtain problem solutions manually through the correct order of operations or by applying a scientific calculator.
| Strand |
Source |
Activities |
| Order of Operations |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.4 |
Classroom
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Linear Equations: Solve
The learner will be able to
obtain solutions to elementary linear equations.
| Strand |
Source |
Activities |
| Linear Equations |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.0 |
Classroom
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Linear Equations: Solve/One Step
The learner will be able to
obtain solutions to one step linear equations.
| Strand |
Source |
Activities |
| Linear Equations |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.1 |
Classroom
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Linear Equations: Write
The learner will be able to
write basic one step linear equations.
| Strand |
Source |
Activities |
| Linear Equations |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.1 |
Classroom
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Expressions: Evaluate
The learner will be able to
evaluate algebraic expressions.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.0 |
Classroom
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Expressions: Variables
The learner will be able to
apply variables in expressions that describe geometric quantities.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 3.1 |
Classroom
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Expressions: Write/Sentences/Equations
The learner will be able to
write verbal expressions and sentences as algebraic expressions and equations.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.0 |
Classroom
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Rate: Demonstrate Understanding
The learner will be able to
illustrate an understanding of rate being a measure of one quantity per unit value of another.
| Strand |
Source |
Activities |
| Rates |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 2.2 |
Classroom
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Computation: Precision
The learner will be able to
perform precise computations.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 6, Mathematical Reasoning, 2.7 |
Classroom
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Computation: Problems/Arithmetic
The learner will be able to
compute and obtain solutions to problems that involve the basic arithmetic operations.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 2.0 |
Classroom
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Bar Graphs: Identify/Compare
The learner will be able to
identify or compare amounts in a bar graph.
| Strand |
Source |
Activities |
| Bar Graphs |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
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.
| Strand |
Source |
Activities |
| Tables/Charts |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Graphing: Results
The learner will be able to
graph and/or interpret results.
| Strand |
Source |
Activities |
| Graphing |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 1.0 |
Classroom
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Circle Graphs: Identify/Amounts
The learner will be able to
identify amounts shown in a circle graph.
| Strand |
Source |
Activities |
| Circle Graphs |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Add 2 Numbers: 3 Decimals
The learner will be able to
add 2 numbers with 3 decimals (regrouping when necessary).
| Strand |
Source |
Activities |
| Add Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Add Decimals/Whole Numbers
The learner will be able to
add decimal numbers and whole numbers.
| Strand |
Source |
Activities |
| Add Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Add 2 Numbers: 1-2 Decimals
The learner will be able to
add 2 numbers with 1-2 decimals as part of real-world scenarios (regrouping when necessary).
| Strand |
Source |
Activities |
| Add Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract Decimals: Regrouping
The learner will be able to
subtract decimals that require regrouping.
| Strand |
Source |
Activities |
| Subtract Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract 2 Numbers: 1-2 Decimals
The learner will be able to
subtract 2 numbers with 1-2 decimals (regrouping when necessary).
| Strand |
Source |
Activities |
| Subtract Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract Decimal from Whole Number
The learner will be able to
subtract a decimal number from a whole number.
| Strand |
Source |
Activities |
| Subtract Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract 2 Numbers: 3+ Decimals
The learner will be able to
subtract 2 numbers with 3 or more decimals, in the context of real world scenarios (regrouping when necessary).
| Strand |
Source |
Activities |
| Subtract Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Multiply 2 Numbers: 2 Decimals
The learner will be able to
multiply 2 numbers with 2 decimals (regrouping when necessary).
| Strand |
Source |
Activities |
| Multiply Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Decimals for Part of a Set
The learner will be able to
identify the decimals that correspond to partially shaded figures.
| Strand |
Source |
Activities |
| Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Decimals and Equivalent Fractions
The learner will be able to
determine equivalent fractions and decimals.
| Strand |
Source |
Activities |
| Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Divide Decimal by Whole Number
The learner will be able to
divide a decimal number by a whole number.
| Strand |
Source |
Activities |
| Divide Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Compare Decimals: Up to 0.000001
The learner will be able to
compare decimal numbers up to the millionths place (0.000001) using the order symbols (<, >, =).
| Strand |
Source |
Activities |
| Compare Decimals |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Compare/Order Fractions
The learner will be able to
order and compare fractions, compare fractions with different denominators, compare a fraction with its lowest term, find a missing number in a fraction equation, and identify, from a list of fractions with different denominators, which fraction is the largest.
| Strand |
Source |
Activities |
| Compare Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Problem Solving: Basic Operations
The learner will be able to
obtain solutions to problems involving the basic operations with positive fractions and describe why a particular operation was applied in a given scenario.
| Strand |
Source |
Activities |
| Problem Solving |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 2.1 |
Classroom
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Multiply/Divide Fractions: Describe
The learner will be able to
describe the process used to multiply and divide positive fractions and perform the calculations.
| Strand |
Source |
Activities |
| Multiply/Divide Fractions |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 2.2 |
Classroom
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Add 2 Fractions: Like Denominators
The learner will be able to
add two fractions with like denominators where denominators are less than 10.
| Strand |
Source |
Activities |
| Add Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Add 2 Fractions: Different Denominators
The learner will be able to
add two fractions with different denominators.
| Strand |
Source |
Activities |
| Add Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Adding: Mixed Fractions
The learner will be able to
add mixed fractions.
| Strand |
Source |
Activities |
| Add Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract: Like Denominators/Less Than 40
The learner will be able to
subtract two fractions with like denominators where denominators are less than 40.
| Strand |
Source |
Activities |
| Subtract Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtract Fractions: Unlike Denominators
The learner will be able to
subtract two fractions with different denominators.
| Strand |
Source |
Activities |
| Subtract Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Subtracting Mixed Fractions
The learner will be able to
subtract two mixed fractions.
| Strand |
Source |
Activities |
| Subtract Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Multiply 1 Whole Number and 1 Fraction
The learner will be able to
multiply a whole number by a fraction.
| Strand |
Source |
Activities |
| Multiply Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Multiply 2 Fractions
The learner will be able to
multiply 2 fractions.
| Strand |
Source |
Activities |
| Multiply Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Fraction Parts: Understand/Match
The learner will be able to
show an understanding of fractions by matching fractions with the appropriate diagrams of partially shaded figures.
| Strand |
Source |
Activities |
| Fraction Parts |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Compare Fractions: To 1
The learner will be able to
compare a fraction to 1.
| Strand |
Source |
Activities |
| Compare Fractions |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Problem Solving: LCM/GCF
The learner will be able to
obtain solutions to problems involving fractions through the application of the least common multiple and/or greatest common factor concepts.
| Strand |
Source |
Activities |
| Problem Solving |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 2.4 |
Classroom
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Problem Solving: Fractions
The learner will be able to
solve problems that involve fractions.
| Strand |
Source |
Activities |
| Problem Solving |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 1.0 |
Classroom
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Figures: Identify
The learner will be able to
identify squares, circles, triangles, rectangles, ovals, cubes, spheres, and/or cones.
| Strand |
Source |
Activities |
| Figures: Identify |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Figures: Extend Knowledge
The learner will be able to
extend their knowledge of geometric figures (2D/3D) and apply this knowledge in obtaining problem solutions.
| Strand |
Source |
Activities |
| Figures |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 1.0 |
Classroom
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Angles
The learner will be able to
identify, describe, estimate, and apply knowledge of various angles (including adjacent, vertical, straight, acute, right, obtuse, supplementary, and complementary).
| Strand |
Source |
Activities |
| Angles |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Angles: Problem Solving
The learner will be able to
apply the properties of complementary and supplementary angles, as well as the angles of a triangle to obtain solutions to problems involving an unknown angle.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.2 |
Classroom
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Figures: Identify/Real World
The learner will be able to
identify shapes in real world objects and drawings.
| Strand |
Source |
Activities |
| Figures: Real World |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Lines: Describe/Relationships/Identify
The learner will be able to
describe the relationships between different lines and identify properties of intersecting, diagonal, horizontal, vertical, parallel, and perpendicular lines.
| Strand |
Source |
Activities |
| Lines |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Angles: Adjacent
The learner will be able to
identify and define angles which are adjacent.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.1 |
Classroom
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Angles: Complementary
The learner will be able to
identify and define angles which are complementary.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.1 |
Classroom
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Angles: Supplementary
The learner will be able to
identify and define angles which are supplementary.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.1 |
Classroom
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Angles: Vertical
The learner will be able to
identify and define vertical angles.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.1 |
Classroom
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Triangles: Draw
The learner will be able to
make drawings of triangles when provided with information about them.
| Strand |
Source |
Activities |
| Triangles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.3 |
Classroom
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Circle: Understand Pi
The learner will be able to
illustrate an understanding of pi.
| Strand |
Source |
Activities |
| Circles |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 1.1 |
Classroom
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Circle: Radius/Diameter/Chord
The learner will be able to
determine possible values for either radius, diameter, or chords of a circle with given measurements.
| Strand |
Source |
Activities |
| Circles |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Geometric Concepts: Pi Estimates
The learner will be able to
know estimates for pi.
| Strand |
Source |
Activities |
| Geometric Concepts |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 1.2 |
Classroom
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Properties of Figures: Identify
The learner will be able to
recognize the properties of two-dimensional figures.
| Strand |
Source |
Activities |
| Properties of Figures |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.0 |
Classroom
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Properties of Figures: Describe
The learner will be able to
make descriptions of the properties of two-dimensional figures.
| Strand |
Source |
Activities |
| Properties of Figures |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.0 |
Classroom
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Quadrilaterals: Draw
The learner will be able to
make drawings of quadrilaterals when provided with information about them.
| Strand |
Source |
Activities |
| Quadrilaterals |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 2.3 |
Classroom
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Geometric Relationships: Display
The learner will be able to
display basic relationships with a basis in geometry in symbolic form.
| Strand |
Source |
Activities |
| Geometric Relationships |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 3.2 |
Classroom
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Reasoning: Approach Problems
The learner will be able to
decide about the manner in which to approach a given problem.
| Strand |
Source |
Activities |
| Reasoning |
CA: STAR Blueprints, 2001, Grade 6, Mathematical Reasoning, 1.0 |
Classroom
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Mathematical Reasoning: Explain
The learner will be able to
apply many different methods to describe mathematical reasoning such as words, numbers, symbols, graphical forms, and/or models.
| Strand |
Source |
Activities |
| Reasoning |
CA: STAR Blueprints, 2001, Grade 6, Mathematical Reasoning, 2.4 |
Classroom
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Conjecture: Create/Mathematical
The learner will be able to
create mathematical conjectures based on a general explanation of the mathematical question or problem posed.
| Strand |
Source |
Activities |
| Conjecture/Argument |
CA: STAR Blueprints, 2001, Grade 6, Mathematical Reasoning, 1.2 |
Classroom
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Conjecture: Justify/Mathematical
The learner will be able to
justify mathematical conjectures based on a general explanation of the mathematical question or problem posed.
| Strand |
Source |
Activities |
| Conjecture/Argument |
CA: STAR Blueprints, 2001, Grade 6, Mathematical Reasoning, 1.2 |
Classroom
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Time: Story Problems
The learner will be able to
calculate time changes, solve story problems, add, subtract, multiply, divide, and convert time, and solve multiple step problems.
| Strand |
Source |
Activities |
| Time |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Money: Coin Value/Add Coins
The learner will be able to
identify the value of a quarter, dime, nickel, and penny and complete the following: adding different coins, choosing correct combinations of coins to make an exact amount, and counting by nickels, dimes, or quarters.
| Strand |
Source |
Activities |
| Money |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Temperature: Calculating
The learner will be able to
read temperature, add and subtract degrees of temperature, identify coldest and warmest temperature, calculate the average/mean and range of temperature.
| Strand |
Source |
Activities |
| Temperature |
California Achievement Test (CAT), Version 5, Level 16 week tested: 36. |
Classroom
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Circumference: Estimate/Calculate
The learner will be able to
apply estimates for the value of pi to estimate and compute the circumferences and areas of circles, and then make comparisons to measurements.
| Strand |
Source |
Activities |
| Circumference |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 1.2 |
Classroom
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Formula: Compare
The learner will be able to
compare and describe the similarities between the formulas for the volumes of triangular prisms and cylinders with the formula for the volume of a rectangular solid.
| Strand |
Source |
Activities |
| Formulas |
CA: STAR Blueprints, 2001, Grade 6, Measurement and Geometry, 1.3 |
Classroom
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Distance/Rate/Time: Problem Solving
The learner will be able to
obtain problem solutions that involve distance, rate, and/or time.
| Strand |
Source |
Activities |
| Distance/Rate/Time/Acceleration |
CA: STAR Blueprints, 2001, Grade 6, Algebra and Functions, 2.3 |
Classroom
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Problem Solving: Proportions
The learner will be able to
obtain problem solutions by applying proportions.
| Strand |
Source |
Activities |
| Problem Solving |
CA: STAR Blueprints, 2001, Grade 6, Number Sense, 1.3 |
Classroom
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Perimeter: Square/Rectangle/Triangle
The learner will be able to
find the perimeter of a square, rectangle, triang | |