You are here: arrow Home arrow Resources arrow Math Connections

Math Connections


      4-5 (Math Resources compiled by Todd Jacobson, TSA for Oakland USD)

      6-8 (Compiled by Barbara Bray for Oakland USD for AB1339)

 

6-8 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 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 cross-multiplication 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

 

Back to Top

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 one-step linear equations in one variable.
Definition of One-Step 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.

Back to Top

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 two-dimensional 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

Back to Top

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

 

 

 

 

 

 

 

 
 

 

 

 

 

 

 

 

 

 

6th Grade Standards Resources

 

Back to Top