Course Overview
This course is designed to develop an instructional approach that addresses the needs of middle grades students with a variety of ability levels and learning styles. This course is a program that brings math to life. It integrates mathematical strands making mathematical connections real. It offers numerous opportuniites for students to develop problem solving, critical thinking, data analysis, and communication skills. This course, along with the assignments given is aligned with eighth grade math. We will emphasize critical thinking, problem solving, real-world applications, and the use of technology.
This course includes:
- 5 units - REAL NUMBERS, ALGEBRAIC EQUATIONS, LINEAR EQUATIONS AND GEOMETRY
- WORKSHEETS WITH VIDEO REVIEW OF EACH PRACTICE
- 30 VIDEO LESSONS
- 30 EXERCISE REVIEW LESSONS
- 54 LINKS TO INTERACTIVE WEBSITES TO PRACTICE CONCEPTS
- 46 PRACTICE LESSONS
- 2 Tests
- 4 Answer Keys for Test
Course Goals
Upon completion of this course students will be prepared to enter Algebra I.
This course is designed for students prepared for Pre-Algebra.
This video course is primarily intended for seventh and eighth grades who have mastered basic math skills.
Course Requirements
Students taking this course will need to have mastered basic math skills, numeracy, and developed critical thinking skills.
Course Topics
Unit I - Real Numbers
Students will learn how to effectively take notes and use notes to increase retention of new material.
- A lesson on how to take notes.
- How to complete a first and second repeat on notes.
- How to write a summary.
- How to use notes.
Real Numbers - Explore the real number system and its appropriate usage in real-world situations.
- Rational Numbers - Estimate and compare the value of irrational numbers by plotting them on a number line. Estimate and compare the value of irrational numbers by plotting them on a number line. Fractions, Decimals, and Percent - Extension of rational numbers extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Apply the concepts of proportional relationships to real-world and mathematical situations. Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Apply concepts of proportional relationships to real-world and mathematical situations. Investigate concepts of square and cube roots. Apply concepts of decimal and scientific notation to solve problems. Explore the relationship between quantities in decimal and scientific notation.
Unit Two - Algebraic Equations
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems through reasoning. Use properties of numbers to solve equations.Solve equations fluently. Solve Equations fluently.
Unit Three
Solve Equations fluently. Solve multi-step equations. Understand solving with variables on both sides of the equation. Understand properties of numbers and use properties to solve problems. Use algebraic thinking to solve real-world problems. Write and solve algebraic equations for real-world problems.
Unit Four
Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in rel-world and mathematical situations. Understand slope, intercepts, graphing on coordinate plane, solve graphically and algebraically, identify different types of linear equations by their properties, solve by elimination, substitution, and graphically. Apply the concepts of slope and y-intercept to graphs, equations, and proportional relationships. Explore the concept of functions. Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations. Investigate and solve real-world and matematical problems involving systems of linear equations in two variables with integer coefficients and solutions. Investigate and solve real-world and mathematical problems involving systems of linear equations in two variables with integer coefficients and solutions.
Unit 5
Investigate bivariate categorical data in two-way tables. Draw an approximate line of best fit on a scatter plot that appears to have a linear association and informally assess the fit of the line ot the data points. Investigate the properties of rigid transformations (rotations, reflections, translaations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, technology). Use models to demonstrate a proof of the Pythagorean Theorem and its converse. Apply the properties of rigid transformations (rotations, reflections, translations). Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools (e.g., grid paper, refelctive devices, graphing paper, technology). Investigate the properties of rigid transformation using a variety of tools.