Pre-Algebra Crash Course

$360 for 12 weeks

 

Description

Students will discover the basics of algebra through a twelve-week crash course. They will begin building their confidence of Pre-Algebra as they manipulate and interpret the core properties and rules. This course is also a refresher course to help prepare students for Algebra!

Students will explore integers, factor numbers and expressions, discover the greatest common factor and least common multiple, operations with fractions, ratios, rates, proportions, percents, solve two-step, multi-step equations and equations with variables on both sides, linear functions and graphing, and nonlinear functions and polynomials. The unit will be culminated with presentations of their Mathematical Comic Strip.

 

Teacher

Jessica Lievers

Homework

Homework assignments are given through Classcraft. Students will have 4 - 8 assignments per week that build from simple to complex. The homework listed below is the final assignment (complex one) for that week in Classcraft.

Materials

Students will need line paper, pencil and graph paper. 

Subjects

Math

Ages

11 - 15 years old

   

Sessions

 

Session #1: Operations with Integers

LESSON OBJECTIVES:

Students will understand the meaning of absolute value. They will use the rules necessary to solve problems with integers using addition, subtraction, multiplication, and division. They will evaluate expressions and solve problems using integer operations.

HOMEWORK:

Students will apply the rules to complete an operations with integers coloring sheet. They will create two problems that each have all four operations and must solve showing all work.

 

Session #2: Greatest Common Factor and Least Common Multiple

LESSON OBJECTIVES:

Students will discuss homework. They will find the greatest common factor and least common multiple. They will use what they know to find the greatest common factor in variable expressions.

HOMEWORK:

Students will complete a GCF/LCM word search. They will also complete a matching activity with GCF/LCM of expressions containing variables. Students should begin comic strip project.

Session #3: Operations with Fractions and Decimals

LESSON OBJECTIVES:

Students will add, subtract, multiply, and divide rational numbers. They will evaluate numerical expressions utilizing the order of operations. They will recognize and create equivalent forms of rational numbers and will compare and order rational numbers.

HOMEWORK:

Students will use their knowledge of operations with rational numbers to evaluate problems using order of operations. Continue to work on project.

Session #4: Ratios, Rates, Percentages, and Proportions

LESSON OBJECTIVES:

Students will add, subtract, multiply, and divide rational numbers. They will evaluate numerical expressions utilizing the order of operations. They will recognize and create equivalent forms of rational numbers and will compare and order rational numbers.

HOMEWORK:

Students will be given various problems and will have to decide the most appropriate strategy to solve each problem. They will compare unit rates and use the percent proportion. Continue to work on comic strip.

Session #5: Factoring Numbers and Expressions; Using the Distributive Property

LESSON OBJECTIVES:

Students will learn how to factor numbers and variables out of expressions. They will combine like terms containing a variable apply the distributive property. Students will apply properties of operations to add, subtract, factor and expand linear expressions with rational coefficients.

HOMEWORK:

Students will work through various problems using the distributive property and the area model to factor numbers and expressions containing variables. Continue to work on project.

Session #6: Solving Equations: One - and Two - Step, Equations with Rational Coefficients

LESSON OBJECTIVES:

Students write and solve equations using properties of equality. They will solve one-step equations, equations with rational coefficients, and two-step equations.

HOMEWORK:

Students will complete a one- and two-step equations puzzle. Continue to work on project.

Session #7: Solving Equations: Multi-Step Equations and Variables on Both Sides

LESSON OBJECTIVES:

Students will write and solve multi-step equations and solve equations with variables on both sides of the equal sign.

HOMEWORK:

Students will complete an error analysis problem involving multi-step equations. They will then complete a solving equations maze. Continue to work on project.

Session #8: Linear Equations: Slope of a Line and Slope-Intercept Form, Graphing Using Intercepts

LESSON OBJECTIVES:

Students will calculate the rate of change or slope of a linear equation given information as sets of ordered pairs, a table, or a graph. They will apply the slope formula. They will give the slope intercept form of a linear equation and define its parts then use those parts to graph a line. They will calculate the intercepts of a line and use the intercepts to graph the equation.

HOMEWORK:

Students will complete “Graphing Lines and Killing Zombies.” They will continue to work on their comic strip.

Session #9: Function or Not a Function?

LESSON OBJECTIVES:

Students will identify functions and determine the domain and range of a function. They will compare functions. Students will also review the exponent rules.

HOMEWORK:

Students will complete a Function or Not? Sort. Continue to work on comic.

Session #10: Graphing y=ax2 and y=ax3

LESSON OBJECTIVES:

Students will graph and solve parabolas and cubics. They will explore different representations of quadratic and cubic functions.

HOMEWORK:

Students will be given various parabolas and cubics to graph. For each, they will explain if it is a function or not.

 

Session #11: Nonlinear Functions and Polynomials

LESSON OBJECTIVES:

Students will identify and classify polynomials. They will add, subtract, multiply, and divide polynomials.

HOMEWORK:

Students will complete an operations with polynomials puzzle. They will complete their mathematical comic strip.

Session #12: Comic Strip Presentations

LESSON OBJECTIVES:

Students will discuss homework. Students will present and discuss their comic strip to the class.

Pre-Algebra

Crash Course

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