Marston Middle School

Home of the Mariners

Pride in Excellence

Marston math courses follow the California Mathematics Content Standards:
 
 

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)

 
NOTE: The Marston Middle School Math Department is starting to prepare students for the new Common Core Standards which will be fully implemented in the 2014-2015 school year. This year, expect to see your child doing more of the following to prepare for these new standards: writing, describing, justifying, reasoning, writing, sense making, understanding, presenting concepts in multiple ways, writing, greater use of math vocabulary, and did we say writing!  
 

Pre-Algebra - Key Learning Targets

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

 
Cycle 2 -  Late September to mid-October

Chapter/lesson

1/9  Use rules to multiply & divide integers  

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 system

4/1  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

4/4  Finding equivalent fractions
4/4  Writing fractions in simplest form
4/6  Identifying, comparing & ordering rational numbers 
5/1  Finding the least common multiple using prime factorization

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

5/5  Using customary units of measure
6/1  Finding rates & unit rates
 

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 interest

 

Cycle 5 -  Early to late December

Chapter/lesson

2/1  Identify and use the properties of numbers

2/2  Use the distributive property to simplify numerical and algebraic equations

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

  3/5  Solve equations by multiplying or dividing decimals
  5/8  Solving equations by multiplying & dividing fractions
  2/8  Use a variable to write an inequality and graph it on a number line

  2/9  Solve one-step inequalities by adding or subtracting

2/10  Solve one-step inequalities by multiplying or dividing


Cycle 7  -  Late January to mid-February

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

7/4  Reasoning Strategy:   Write an equation

7/5  Solving two-step inequalities

7/6  Transforming formulas

 

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 quotients

11/1  Finding square roots

11/2  Using the Pythagorean Theorem


Cycle 9 -  Mid to late March

Chapter/lesson

1/10  Identify coordinates and graph points on the coordinate plane

  8/1  Identifying & graphing relations and functions

  8/2  Equations with two variables

  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

10/1  Finding areas of rectangles and parallelograms 

10/2  Find areas triangles and trapezoids

  9/6  Circles

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 cylinders

 

Cycle 11  -  Early to late May

Chapter/lesson

10/6  Surface area:  pyramids, cones, spheres

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

  9/3  Classifying polygons

  9/5  Identifying the adjacent, congruent, supplementary, complementary and vertical angles

  9/7  Constructions (optional)
 

Cycle 12  -  Late May to end of school year

  9/8  Translations
  9/9  Symmetry and reflections
9/10  Rotations
Topics for the remainder of the year are at teacher discretion but could include probability or review of past topics.