68
Math Resources aligned to California State Standards
(site is being developed
and added to every day: if you know of any good resources, please
email them to Barbara)
 6th Grade Resources
 7th Grade Resources
to be developed
 8th Grade Resources
to be developed
6th Grade Standards
Resources
Number
Sense 
1.0
Students compare and order positive and negative fractions,
decimals, and mixed numbers. Students solve problems involving
fractions, ratios, proportions, and percentages: 
1.1 Compare and order positive and
negative fractions, decimals, and mixed numbers and place
them on a number line.

Rounding
Numbers
Worksheet
on decimals and mixed numbers
Comparing Numbers 
1.2 Interpret and use ratios in
different contexts (e.g., batting averages, miles per hour)
to show the relative sizes of two quantities, using appropriate
notations (a/b, a to b, a:b).

Information
on Ratios and Interactive Sites 
1.3 Use proportions to solve problems
(e.g., determine the value of N if 4/7 = N/21, find the length
of a side of a polygon similar to a known polygon). Use crossmultiplication
as a method for solving such problems, understanding it as
the multiplication of both sides of an equation by a multiplicative
inverse.

Worksheet
on Proportions
Comparing
Proportions Worksheet
Lesson
Plan with Resources 
1.4 Calculate given percentages
of quantities and solve problems involving discounts at sales,
interest earned, and tips.

Discount
Sales Prices
Simple Interest
Estimating Tips 
2.0
Students calculate and solve problems involving addition,
subtraction, multiplication, and division: 
2.1 Solve problems involving addition,
subtraction, multiplication, and division of positive fractions
and explain why a particular operation was used for a given
situation.

Addition
Problems
Subtraction Problems
Multiplication Problems
Division Problems 
2.2 Explain the meaning of multiplication
and division of positive fractions and perform the calculations
(e.g., 5/8 ÷ 15/16 = 5/8 x 16/15 = 2/3).

Dividing
Fractions
Multiplying Fractions 
2.3 Solve addition, subtraction,
multiplication, and division problems, including those arising
in concrete situations, that use positive and negative integers
and combinations of these operations.

Multiplying
Fractions by Integers
Adding
Positive and Negative Integers 
2.4 Determine the least common multiple
and the greatest common divisor of whole numbers; use them
to solve problems with fractions (e.g., to find a common denominator
to add two fractions or to find the reduced form for a fraction).

Least
Common Denominator 
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6th Grade Standards
Resources

Algebra
and Functions 
1.0
Students write verbal expressions and sentences as algebraic
expressions and equations; they evaluate algebraic expressions,
solve simple linear equations, and graph and interpret their
results: 
1.1 Write and solve onestep linear
equations in one variable.

Definition
of OneStep Linear Equations
One
Step Activity 
1.2 Write and evaluate an algebraic
expression for a given situation, using up to three variables.

Definition
of Algebraic Expression 
1.3 Apply algebraic order of operations
and the commutative, associative, and distributive properties
to evaluate expressions; and justify each step in the process.

Order
of Operations 
1.4 Solve problems manually by using
the correct order of operations or by using a scientific calculator.

Online
Activities on Order of Operations
Order
of Operations With Exponents 
2.0
Students analyze and use tables, graphs, and
rules to solve problems involving rates and proportions: 
2.1 Convert one unit of measurement
to another (e.g., from feet to miles, from centimeters to
inches).

Body
Height Weight Converter
Length Converter
Summary
Table of Conversion Factors 
2.2 Demonstrate an understanding
that rate is a measure of one quantity per unit value of another
quantity.

Distance,
Rate, and Time 
2.3 Solve problems involving rates,
average speed, distance, and time.

Go
the Distance Activity 
3.0 Students investigate
geometric patterns and describe them algebraically:

3.1 Use variables in expressions
describing geometric quantities (e.g., P = 2w + 2l, A = 1/2bh,
C = pd  the formulas for the perimeter of a rectangle, the
area of a triangle, and the circumference of a circle, respectively).

Shape
Surveyor
Lesson
on Area of Rectangles
Circumference
of a Circle

3.2 Express in symbolic form simple
relationships arising from geometry.


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6th Grade Standards
Resources
Measurement
and Geometry 
1.0 Students
deepen their understanding of the measurement of plane and solid
shapes and use this understanding to solve problems: 
1.1 Understand the concept of a
constant such as p; know the formulas for the circumference
and area of a circle.

Circle
Formulas

1.2 Know common estimates of p (3.14;
22/7) and use these values to estimate and calculate the circumference
and the area of circles; compare with actual measurements.

Circle
Solver 
1.3 Know and use the formulas for
the volume of triangular prisms and cylinders (area of base
x height); compare these formulas and explain the similarity
between them and the formula for the volume of a rectangular
solid.

Formulas
to Remember 
2.0
Students identify and describe the properties of twodimensional
figures: 
2.1 Identify angles as vertical,
adjacent, complementary, or supplementary and provide descriptions
of these terms.

Angles
and angle terms 
2.2 Use the properties of complementary
and supplementary angles and the sum of the angles of a triangle
to solve problems involving an unknown angle.


2.3 Draw quadrilaterals and triangles
from given information about them (e.g., a quadrilateral having
equal sides but no right angles, a right isosceles triangle).

Introduction
to Quadrilaterals 
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Statistics,
Data Analysis, and Probability 
1.0
Students compute and analyze statistical measurements for data
sets: 

















6th Grade Standards
Resources

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