By the end of PRE-ALGEBRA, students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use factoring of numerators and denominators and properties of exponents. They know the Pythagorean theorem and solve problems in which they compute the length of an unknown side. Students know how to compute the surface area and volume of basic three-dimensional objects and understand how area and volume change with a change in scale. Students make conversions between different units of measurement. They know and use different representations of fractional numbers (fractions, decimals, and percents) and are proficient at changing from one to another. They increase their facility with ratio and proportion, compute percents of increase and decrease, and compute simple and compound interest. They graph linear functions and understand the idea of slope and its relation to ratio. (Taken from the California Mathematics Content Standards)
Cycle 1 - Early to late September
Chapter/lesson
1/1 Identify numerical vs. algebraic expressions
1/1 Identify variables and write algebraic expressions
1/2 Simplify expressions using the Order of Operations
1/3 Writing and evaluate algebraic expressions using the Order of Operations
1/4 Integers and absolute value
1/5 Use models, number line & rules to add integers
1/6 Use models, number line & rules to subtract integers
Chapter/lesson
3/1 Estimate decimal sums and differences through rounding and front end estimation
3/2 Estimate decimal products and quotients
3/6 Using the metric system4/1 Using divisibility rules for 2, 3, 4, 5, 9 & 10
4/1 Finding factors
4/2 Using exponents
4/3 Finding prime factorizations
4/3 Finding the greatest common factor
Cycle 3 - Mid to late October
Chapter/lesson
5/2 Writing a fraction as a decimal and a decimal as a fraction
5/3 Adding & subtracting fractions with like and unlike denominators
5/4 Multiplying & dividing fractions
Cycle 4 - Early to late November
Chapter/lesson
6/2 Solving proportions
6/3 Using similar figures & scale drawings
6/4 Writing percent as fractions & decimals and vice versa
6/5 Finding part of a whole and a whole amount
6/6 Writing & solving percent equations
6/7 Finding percent of increase or decrease
6/8 Calculating markups and discounts
7/7 Calculating simple interestCycle 5 - Early to late December
Chapter/lesson
2/1 Identify and use the properties of numbers
2/3 Simplify algebraic expressions by combining like terms
2/4 Translate word phrases into equations to solve
2/5 Solve equations by adding or subtracting
3/5 Solve equations by adding or subtracting decimals
5/7 Solve equations by adding and subtracting fractions
Cycle 6 - Early to late January
Chapter/lesson
2/6 Solve equations by multiplying or dividing
2/9 Solve one-step inequalities by adding or subtracting
2/10 Solve one-step inequalities by multiplying or dividing
Chapter/lesson
7/1 Solving two-step equations
7/2 Solving multi-step equations using the Distributive Property and Combining Like Terms
7/3 Solving two-step equations with fractions and decimals
7/5 Solving two-step inequalities
Cycle 8 - Mid-February to mid-March
Chapter/lesson
4/7 Multiplying powers with the same base
4/7 Finding a power of a power
4/8 Dividing expressions containing exponents
4/9 Writing in scientific notation
5/9 Finding powers of products and quotients11/1 Finding square roots
11/2 Using the Pythagorean Theorem
Cycle 9 - Mid to late March
Chapter/lesson
8/1 Identifying & graphing relations and functions
8/3 Finding the slope of a line (rise and run)
8/3 Writing the equation of a line in slope-intercept form
8/3 Using the slope and y-intercept to graph linear equations
12/1 Finding mean, median, mode and range
12/2 Using frequency tables, line plots and histograms to display data
12/3 Making and analyzing box-and-whisker plots
Cycle 10 - Early to late April
Chapter/lesson
3/3 Use the formula for rate and perimeter
10/2 Find areas triangles and trapezoids
10/3 Finding area and circumference of circle
10/3 Find areas of irregular shapes
10/4 Naming space figures such as cylinders, prisms, cones and spheres
10/5 Surface area: prisms and cylindersCycle 11 - Early to late May
Chapter/lesson
10/7 Finding volumes of prisms and cylinders
10/9 Finding volumes of cones, pyramids and spheres
9/1 Identifying points and lines
9/2 Identifying intersecting, parallel lines and transversal
9/2 Identifying corresponding and alternate interior angles
9/5 Identifying the adjacent, congruent, supplementary, complementary and vertical angles
Cycle 12 - Late May to end of school year
All San Diego students will Graduate with the Skills, Motivation, Curiosity and resilience to Succeed in their choice of College and Career in order to Lead and Participate in the society of Tomorrow.
Copyright © San Diego Unified School District |
Website Inquiries | General Inquiries | Terms of Use