HOW can bar diagrams or algebra tiles help you solve an equation?

Slides:



Advertisements
Similar presentations
Common Core Mathematical Practices. People who are good in math… Make sense of problems.
Advertisements

Standards for Mathematical Practice
Mathematical Practices 1.Make sense of problems and persevere in solving them. 2.Reason abstractly and quantitatively. 3.Construct viable arguments and.
MCC 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. MCC 7.EE.2.
Tree Growth Problem 7.EE - Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Key Concept: Power Property of Equality Example 1:Real-World.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–1) CCSS Then/Now New Vocabulary Example 1:Write an Equation Given the Slope and a Point Example.
Splash Screen. Over Lesson 2–4 5-Minute Check 1 A.–4 B.–1 C.4 D.13 Solve 8y + 3 = 5y + 15.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSSS Then/Now New Vocabulary Example 1:Solve an Equation with Variables on Each Side Example.
Course 2, Lesson The amount a cashier earns is shown in the table. Determine whether the amount earned is proportional to the number of hours worked.
Course 2, Lesson 1-1 Find the mean, median, and mode for each data set. Round to the nearest tenth if necessary. 1. number of cars in household: 1, 3,
Course 2, Lesson 2-5 Use the determine reasonable answers strategy to solve Exercises 1–4. 1. If the speed limit is 65 miles per hour, what is a reasonable.
Write an integer for each situation. 1. stock market down 56 points
Course 2, Lesson 2-3 Estimate % of % of % of % of Twenty-two percent of the seventh-grade class at Santa Ana Middle.
Course 2, Lesson 2-6 Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or.
3. What is the constant of variation of the linear function. Pay $15
Course 2, Lesson 1-3 Simplify On her last science test, Maria answered of the questions incorrectly. Write as a fraction in simplest form.
Solve each inequality. Graph the solution set on a number line.
Course 2, Lesson 4-6 Use the draw a diagram strategy to solve Exercises The Rockwells have driven 180 miles, which is about of the way to their.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now Example 1:Expressions with Absolute Value Key Concept: Absolute Value Equations.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now Example 1:Expressions with Absolute Value Key Concept: Absolute Value Equations.
HOW are percent diagrams used to solve real-world problems?
HOW is compound interest different from simple interest? Ratios and Proportional Relationships Course 2, Inquiry Lab after Lesson 2-8.
Multiplying and Dividing Monomials CCS: A-CED.1. A-CED.1 CREATE equations and inequalities in one variable and USE them to solve problems. INCLUDE equations.
Expressions and Equations
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–1) CCSS Then/Now New Vocabulary Example 1:Write an Equation Given the Slope and a Point Example.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSSS Then/Now New Vocabulary Example 1:Solve an Equation with Variables on Each Side Example.
ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.
Solve each inequality. Check your solution. 1. –3x ≥ k > 300 Solve each inequality. Graph the solution set on a number line. 4. 4p + 3 ≤ –1 5.
HOW is percent used to solve real-world problems? Ratios and Proportional Relationships Course 2, Inquiry Lab before Lesson 2-3.
Course 2, Lesson 7-4 Use the make a model strategy to solve Exercises 1 and 2. A 15-inch by 20-inch piece of poster board has a 3.5-inch square cut out.
Course 2, Lesson 2-2 Find each number. Round to the nearest tenth if necessary % of % of % of % of $ % of
10.4 Radical Equations Algebra 1. 5-Minute Check A. B. C. D.
Course 2, Lesson 1-7 Solve each proportion Solve. Assume all situations are proportional. 3. For every 4 students, 3 like peanut butter and jelly.
Solve each inequality. Graph the solution set on a number line. 1. 3a + 3 < y + 2 > –22 3. –5m – 5 ≤ Ann has only $10 to spend on carnival.
Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.
Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.
Compare and order integers Find the absolute value of an expression Lesson 2-1 Rational Numbers and Exponents.
HOW can a bar diagram or algebra tiles help you solve a real-world problem? Course 2, Inquiry Lab before Lesson 6-4 Expressions and Equations.
Splash Screen.
Splash Screen.
Evaluate each expression if a = 3, b = 7, and c =
How can you use numbers and symbols to represent mathematical ideas?
Use the guess, check, and revise strategy to solve each exercise.
Splash Screen.
Splash Screen.
Write each decimal as a fraction or mixed number in simplest form.
Splash Screen.
Lesson 1.3 Variables and Expressions (Glencoe book)
Splash Screen.
Splash Screen.
Splash Screen.
Test Chapter 1 TENTATIVELY scheduled for Wednesday, 9/21.
Solving Systems Using Substitution
Splash Screen.
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
Splash Screen.
Evaluate each expression. Round to the nearest tenth if necessary.
Splash Screen.
Splash Screen.
Splash Screen.
Bellwork: 2/12/18 (Block 3) Use the look for a pattern strategy to solve Exercises 1–3. 1. In a stadium, there are 10 seats in the 1st row, 13 seats in.
Splash Screen.
Splash Screen.
Splash Screen.
Multiply. Write in simplest form
Solve each inequality. Graph the solution set on a number line.
HOW is an inequality like an equation? How is it different?
Solve each inequality. Check your solution. 1. –3x ≥ 9 2.
Presentation transcript:

HOW can bar diagrams or algebra tiles help you solve an equation? Expressions and Equations HOW can bar diagrams or algebra tiles help you solve an equation? Course 2, Inquiry Lab before Lesson 6-1

Mathematical Practices Expressions and Equations 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 5 Use appropriate tools strategically. Course 2, Inquiry Lab before Lesson 6-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Expressions and Equations In a recent year, 19 of the 50 states had a law banning the use of handheld cell phones while driving a school bus. Determine how many states did not have this law. The bar diagram represents the total number of states and the number of states that have passed a cell phone law. Fill in the missing information. Activity 1 Continued  Course 2, Inquiry Lab before Lesson 6-1

Expressions and Equations In a recent year, 19 of the 50 states had a law banning the use of handheld cell phones while driving a school bus. Determine how many states did not have this law. Write an equation from the bar diagram. Let x represent the states that do not have a cell phone law for school bus drivers. 19 + x = 50 Activity 1 Continued  Course 2, Inquiry Lab before Lesson 6-1

Use the work backward strategy to solve the equation. Since Expressions and Equations In a recent year, 19 of the 50 states had a law banning the use of handheld cell phones while driving a school bus. Determine how many states did not have this law. Use the work backward strategy to solve the equation. Since 19 + x = 50, x = 50 – 19. So, x = . Check 19 + = 50 ✓ So, states did not have a law banning the use of cell phones by bus drivers. Course 2, Inquiry Lab before Lesson 6-1

Solve x – 3 = –2 using algebra tiles. Expressions and Equations Solve x – 3 = –2 using algebra tiles. Remember a 1-tile and a –1-tile combine to make a zero pair. You can add or subtract zero pairs from either side of an equation without changing its value. Model the equation. Activity 2 Continued  Course 2, Inquiry Lab before Lesson 6-1

Solve x – 3 = –2 using algebra tiles. Expressions and Equations Solve x – 3 = –2 using algebra tiles. Remember a 1-tile and a –1-tile combine to make a zero pair. You can add or subtract zero pairs from either side of an equation without changing its value. Add three 1-tiles to the left side of the mat and _____________ 1-tiles to the right side of the mat to form zero pairs on each side of the mat. Activity 2 Continued  Course 2, Inquiry Lab before Lesson 6-1

Solve x – 3 = –2 using algebra tiles. Expressions and Equations Solve x – 3 = –2 using algebra tiles. Remember a 1-tile and a –1-tile combine to make a zero pair. You can add or subtract zero pairs from either side of an equation without changing its value. Remove all of the zero pairs from each side. There is _________ 1- tile on the right side of the mat. Therefore, x = . Check – 3 = –2 ✓ Course 2, Inquiry Lab before Lesson 6-1

HOW can bar diagrams or algebra tiles help you solve an equation? Expressions and Equations HOW can bar diagrams or algebra tiles help you solve an equation? Course 2, Inquiry Lab before Lesson 6-1