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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - CA: Grade 5 |
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Expressions: Write/Evaluate
The learner will be able to
write basic expressions in one variable and use substitution to evaluate them.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.2 |
Classroom
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Expressions: Apply/Compute
The learner will be able to
apply variables in simple expressions, calculate for specific values of variables in expressions, and plot and interpret results.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.0 |
Classroom
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Expressions: Distributive Property
The learner will be able to
understand and apply the distributive property in expressions that may contain variables.
| Strand |
Source |
Activities |
| Expressions |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.3 |
Classroom
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Computation: Problem Solving
The learner will be able to
add, subtract, and perform simple multiplication and division of fractions and decimals in order to obtain solutions to problems.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.0 |
Classroom
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Division: Positive Decimals
The learner will be able to
become proficient at division with positive decimals and at long division with multiple digit divisors.
| Strand |
Source |
Activities |
| Operations: Division |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.2 |
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 15 week tested: 36. |
Classroom
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Fact Family
The learner will be able to
identify number sentence within a fact family.
| Strand |
Source |
Activities |
| Fact Families |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Fact Family: Non-members
The learner will be able to
identify a number sentence that does not belong to a given fact family.
| Strand |
Source |
Activities |
| Fact Families |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Properties: Comprehend/Distributive
The learner will be able to
comprehend the distributive property.
| Strand |
Source |
Activities |
| Properties |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.3 |
Classroom
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Equations: Variables/Distributive
The learner will be able to
apply the distributive property to an equation containing variables.
| Strand |
Source |
Activities |
| Equations |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.3 |
Classroom
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Equations: Questions
The learner will be able to
apply information from a graph or equation to answer questions about a problem scenario.
| Strand |
Source |
Activities |
| Equations |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.1 |
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.
| Strand |
Source |
Activities |
| Multiple-step Problems |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Create a Story Problem
The learner will be able to
use a given equation to develop a story problem.
| Strand |
Source |
Activities |
| Write/Create Story Problems |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Variable: Represent Unknown
The learner will be able to
apply letters to represent unknown values.
| Strand |
Source |
Activities |
| Variable |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.2 |
Classroom
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Computation: Small Numbers
The learner will be able to
perform computations with very small numbers.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 1.0 |
Classroom
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Computation: Large Numbers
The learner will be able to
perform computations with very large numbers.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 1.0 |
Classroom
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Computation: Calculate/Positive
The learner will be able to
perform calculations with positive integers, decimals, and fractions.
| Strand |
Source |
Activities |
| Computation |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 1.0 |
Classroom
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Division: Illustrate/Proficiency
The learner will be able to
illustrate proficiency with division.
| Strand |
Source |
Activities |
| Operations: Division |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.2 |
Classroom
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Basic Operations: Fractions/Decimals
The learner will be able to
perform calculations involving the four basic operations with fractions and decimals.
| Strand |
Source |
Activities |
| Basic Operations |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.0 |
Classroom
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Line Graphs: Identify/Compare/Analyze
The learner will be able to
identify, compare, and analyze points on a line graph.
| Strand |
Source |
Activities |
| Line Graphs |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Tables: Read/Compare
The learner will be able to
read and compare information in a table.
| Strand |
Source |
Activities |
| Tables/Charts |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Decimals: Basic Operations
The learner will be able to
perform the four basic operations with decimals.
| Strand |
Source |
Activities |
| Decimals |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.1 |
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 15 week tested: 36. |
Classroom
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Subtract Decimals: No Regrouping
The learner will be able to
subtract decimals that do not require regrouping.
| Strand |
Source |
Activities |
| Subtract Decimals |
California Achievement Test (CAT), Version 5, Level 15 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 15 week tested: 36. |
Classroom
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Multiply Decimal and Whole Numbers
The learner will be able to
multiply a decimal number by a one-digit whole number (regrouping when necessary).
| Strand |
Source |
Activities |
| Multiply Decimals |
California Achievement Test (CAT), Version 5, Level 15 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 15 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 15 week tested: 36. |
Classroom
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Problem Solving: Add/Subtract
The learner will be able to
obtain solutions to elementary problems coming from concrete scenarios involving the addition and subtraction of fractions and mixed numbers (possessing either like or unlike denominators up to 20), expressing results in simplest form.
| Strand |
Source |
Activities |
| Problem Solving |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.3 |
Classroom
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Multiply/Divide Fractions: Compute
The learner will be able to
calculate the basic multiplication and division of fractions and use these methods in obtaining problem solutions.
| Strand |
Source |
Activities |
| Multiply/Divide Fractions |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.5 |
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 15 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 15 week tested: 36. |
Classroom
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Add Fractions: Solve/Story Problems
The learner will be able to
add two fractions, either mixed fractions or with different denominators, in the context of a story problem.
| Strand |
Source |
Activities |
| Add Fractions |
California Achievement Test (CAT), Version 5, Level 15 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 15 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 15 week tested: 36. |
Classroom
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Fractions: Reduce/Lowest Terms
The learner will be able to
reduce a given fraction to its lowest terms.
| Strand |
Source |
Activities |
| Fractions |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Compare Fractions: Equivalent/Mixed
The learner will be able to
compare 2 equivalent fractions and equivalent and mixed fractions.
| Strand |
Source |
Activities |
| Compare Fractions |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Order: Four Fractions
The learner will be able to
order a series of up to four fractions (expressed as simple fractions).
| Strand |
Source |
Activities |
| Ordering |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Multiply/Divide Fractions: Understand
The learner will be able to
comprehend the concepts involved in multiplying and/or dividing fractions.
| Strand |
Source |
Activities |
| Multiply/Divide Fractions |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.4 |
Classroom
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Functions: Problem Solving
The learner will be able to
write the equation associated with a given linear function, evaluate it for integer values of the variable, and graph the resulting ordered pairs of integers on a grid.
| Strand |
Source |
Activities |
| Functions |
CA: STAR Blueprints, 2001, Grade 5, Algebra and Functions, 1.5 |
Classroom
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Angles: Within a Figure
The learner will be able to
identify, describe, and define various angles in a given figure.
| Strand |
Source |
Activities |
| Angles |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Properties: Recognize/Explain/Classify
The learner will be able to
recognize, explain, and classify the properties of two- and three-dimensional figures and the relationships between them.
| Strand |
Source |
Activities |
| Properties of Figures |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.0 |
Classroom
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Spatial Relationships: Visualizations
The learner will be able to
mentally picture and/or draw the two dimensional view of a given three dimensional object created of rectangular solids.
| Strand |
Source |
Activities |
| Spatial Relationships |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.3 |
Classroom
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Figures: Draw/Rectangles
The learner will be able to
draw rectangles using suitable tools.
| Strand |
Source |
Activities |
| Figures: Construct |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
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 15 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 15 week tested: 36. |
Classroom
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Angles: Identify/Appropriate Tools
The learner will be able to
identify angles using appropriate tools.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Angles: Measure/Appropriate Tools
The learner will be able to
find angle measures using appropriate tools.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Angles: Draw/Appropriate Tools
The learner will be able to
draw angles using appropriate tools.
| Strand |
Source |
Activities |
| Angles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Triangles: Similar
The learner will be able to
identify similar triangles.
| Strand |
Source |
Activities |
| Triangles |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Triangles: Angle Sum
The learner will be able to
understand that the sum of the angles of any triangle equals 180 degrees.
| Strand |
Source |
Activities |
| Triangles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.2 |
Classroom
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Triangles: Measure/Suitable Tools
The learner will be able to
measure triangles using suitable tools.
| Strand |
Source |
Activities |
| Triangles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Triangles: Draw/Suitable Tools
The learner will be able to
draw triangles using suitable tools.
| Strand |
Source |
Activities |
| Triangles |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Congruency
The learner will be able to
identify specific shapes as congruent.
| Strand |
Source |
Activities |
| Congruence |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Parallel/Perpendicular: Identify
The learner will be able to
identify parallel and perpendicular lines using appropriate tools.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Parallel/Perpendicular: Draw
The learner will be able to
draw parallel and perpendicular lines using appropriate tools.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Parallel/Perpendicular: Measure
The learner will be able to
measure parallel and perpendicular lines with appropriate tools.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Quadrilaterals: Angle Sum
The learner will be able to
understand that the sum of the angles of any quadrilateral equals 360 degrees.
| Strand |
Source |
Activities |
| Quadrilaterals |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.2 |
Classroom
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Polygons: Identify
The learner will be able to
identify rectangles and/or triangles using appropriate tools.
| Strand |
Source |
Activities |
| Polygons |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Polygons: Apply Knowledge
The learner will be able to
use the knowledge of the sums of the angles of quadrilaterals and triangles to solve problems.
| Strand |
Source |
Activities |
| Polygons |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.2 |
Classroom
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Integers: Understand/Calculate/Powers
The learner will be able to
understand and calculate positive integer powers of non-negative integers, computing examples as repeated multiplication.
| Strand |
Source |
Activities |
| Integers |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 1.3 |
Classroom
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Add Integers: Negative
The learner will be able to
perform addition with negative integers.
| Strand |
Source |
Activities |
| Add Integers |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.1 |
Classroom
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Subtract: Whole Number/Negative Integer
The learner will be able to
subtract a whole number from a negative integer.
| Strand |
Source |
Activities |
| Subtract Integers |
CA: STAR Blueprints, 2001, Grade 5, Number Sense, 2.1 |
Classroom
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Units: 2D/3D
The learner will be able to
apply and understand the difference between units suitably used for measurement of two- and three-dimensional objects.
| Strand |
Source |
Activities |
| Units |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.4 |
Classroom
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Time: Read/Calculate Analog Clock
The learner will be able to
read a standard clock (not digital) and calculate lengths of time through addition and subtraction.
| Strand |
Source |
Activities |
| Time |
California Achievement Test (CAT), Version 5, Level 15 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 15 week tested: 36. |
Classroom
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Weight
The learner will be able to
compare units of measurement, estimate the weight of objects, and convert units of measurement, within but not between the standard and metric system.
| Strand |
Source |
Activities |
| Weight |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Area/Volume: Comprehend/Calculate
The learner will be able to
comprehend and calculate the areas and volumes of elementary objects.
| Strand |
Source |
Activities |
| Perimeter/Area/Volume |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.0 |
Classroom
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Constructions: Cube/Box
The learner will be able to
create a cube and rectangular box from two-dimensional patterns and apply these patterns to calculate the surface area of these objects.
| Strand |
Source |
Activities |
| Constructions |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.2 |
Classroom
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Formulas: Derive/Apply/Area
The learner will be able to
derive and apply the formulas for determining areas of triangles and parallelograms through comparison with the formula for the area of a rectangle.
| Strand |
Source |
Activities |
| Formulas |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.1 |
Classroom
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Volume: Understand Concept
The learner will be able to
comprehend the idea of volume.
| Strand |
Source |
Activities |
| Volume |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.3 |
Classroom
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Volume: Counting Square Units
The learner will be able to
determine the volume of a solid figure consisting of square units without being given a formula.
| Strand |
Source |
Activities |
| Volume |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Volume: Rectangular Solids
The learner will be able to
apply suitable units to calculate the volume of rectangular solids.
| Strand |
Source |
Activities |
| Volume |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 1.3 |
Classroom
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Area of a Rectangle: Calculate
The learner will be able to
calculate the area of a rectangle given its measurements.
| Strand |
Source |
Activities |
| Area of a Rectangle |
California Achievement Test (CAT), Version 5, Level 15 week tested: 36. |
Classroom
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Tools: Measure/Rectangles
The learner will be able to
measure rectangles using suitable tools.
| Strand |
Source |
Activities |
| Tools/Instruments |
CA: STAR Blueprints, 2001, Grade 5, Measurement and Geometry, 2.1 |
Classroom
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Divisibility: Represent
The learner will be able to
show the rules of divisibility with calculators, manipulatives, and pictures.
| Strand |
Source |
Activities |
| Divisibility |
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