Unit 5: Systems of Equations
At the end of Unit 5, you will be able to (Do) …
C1PI₂: Write, solve and interpret a system of two equations in two variables or two inequalities in two variables that model real-world situations.
- Solve multi-variable equations for one of the variables. (A-CED.A.4)
- Solve simple systems, when one equation is given in y = mx + b form, and the other in standard ax + by = c form. (A-REI.C.6)
- Solve simple systems of equations where both equations are given in standard form, with the coefficients of one variable either matching or opposite. (A-REI.C.6)
- Understand that the solution to a system of equations is the point that makes both equations true. (A-REI.C.5, A-REI.D.10)
- Use graphing to estimate a solution. (A-REI.C.6)
- Write systems of equations from word problems. (A.CED.A.2)
- Solve linear equations with fractional coefficients. (Checkpoint 5A)
- Multiply binomials and solve equations with parentheses. (Checkpoint 5B)
C1PI₂: Write, solve and interpret a system of two equations in two variables or two inequalities in two variables that model real-world situations.
Unit Outline
Section 6.1 You will write mathematical sentences (equations) in preparation for solving situational word problems.
Section 6.2 You will learn two of the three algebraic methods for solving a system of equations: the Equal Values and Substitution Methods.
Section 6.3 You will continue to develop methods to solve systems of equations in different forms using the Elimination Method. You will learn what it means for a system to have no solution or infinite solutions.
Section 6.4 You will find ways to know which solving method is most efficient. You will make important connections among solving equations, multiple representations, and systems of equations.
Section 6.1 You will write mathematical sentences (equations) in preparation for solving situational word problems.
Section 6.2 You will learn two of the three algebraic methods for solving a system of equations: the Equal Values and Substitution Methods.
Section 6.3 You will continue to develop methods to solve systems of equations in different forms using the Elimination Method. You will learn what it means for a system to have no solution or infinite solutions.
Section 6.4 You will find ways to know which solving method is most efficient. You will make important connections among solving equations, multiple representations, and systems of equations.
Sunday |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
Dec 30 |
31 New Year's Eve |
Jan 1 New Year's Day |
2 No School |
3 No School |
4 No School |
5 |
6 |
7 Working with Multi-variable equations |
8 Solving word problems |
9 Solving word problems |
10 Solving word problems |
11 Systems |
12 |
13 |
14 Systems |
15 System |
16 System |
17 Systems |
18 System |
19 |
20 |
21 No School |
22 Systems |
23 Systems |
24 Unit Review |
25 Competency Check #5 |
26 |