Visualizing Quadratic Expressions
... model, recognize quadratic expressions in many forms, and understand that the product of two binomial expressions can be determined by multiplying each term in one sum by each term in the other sum. Vocabulary rectangle square area In this lesson students manipulate geometric figure...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-quadratic-expressions
Adding Ratios
...alent to the original; and that the coordinates representing the ratio lie on the same line. What to look for At the end of the lesson, have students change the ratios for the blue and pink segments and explain what each segment represents. Discuss as a class the effects the rates associated with...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/adding-ratios
Equations of the Form ax+by = c
Equations of the Form ax+by = c website In this lesson students investigate linear equations of the form \(ax+by = c\). Students use coordinate grids to explore the “trade off” or “exchan...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-of-the-form-ax-plus-by-equals-c
Comparing Units
...tion. 393728 Comparing Units Planning and Resources Objectives Students understand that fractions do not necessarily come from the same whole, which can make a difference in what two fractions represent in terms of length or area. Vocabulary scalar multiple This lesson helps studen...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/comparing-units
What is an Equation?
...what values would make sense both numerically and in a given context; and how different equations representing the same situation can be related to each other. What to look for Students should be able to note that a variable is typically represented by a letter and takes on multiple values as rep...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-equation
Fraction Multiplication
... TNS Lesson Snapshot Students can think about the finding the product of two fractions as finding the area; where each multiplier represents the base or the height of a rectangle. What to look for Be sure students understand that the whole number 2 would be repre...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fraction-multiplication
Fractions as Division
... DOC TNS Lesson Snapshot The file illustrates two different approaches to thinking about this relationship between fractions and division. Be sure students can explain both methods. What to look for As students di...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-as-division
Building a Table of Ratios
Building a Table of Ratios website Students generate equivalent ratios in a table, where values in each row of the table are a multiple of the values in the original ratio and that the en...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/building-a-table-of-ratios
Dividing a Fraction by a Fraction
...n a. What are the students doing? Students use number lines to investigate division of fractions with numbers less than or equal to 1. What is the teacher doing? Remind students that they can use multiplication to check the answers of their division problems. The Big Idea Two Columns Con...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-fraction
Solving Equations
Solving Equations website In this lesson students draw upon tools learned in previous work and focus on making strategic choices in solving linear equations. 439874 Solving Equations P...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-equations
Building Expressions
... true for others. For example, “multiplication” makes things larger is true if you are multiplying whole numbers greater than 1. Sample Assessment Which expression is equivalent to 8(x-2) + 4(3-x) - 2x? Answer: 2x-4 Understanding Students consider how to verify that expressions are equ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions
What's a Solution to a System of Equations?
...oints on a line, or there is no solution. They should also be able to describe the solution in terms of the graphs of the two equations, and identify characteristics of equations that will lead to each possible outcome. Vocabulary system of linear equations in two variables intersection slope p...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-solution-to-a-system-of-equations
Visualizing Systems of Linear Equations
...ation for reasoning about strategies for solving systems of equations. What to look for Some students may reason about the numerical value for each expression in an equation and how they must be the same, while others may reason by identifying numbers that make the mobile unbalanced and in w...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-systems-of-linear-equations
Units Other Than a Unit Square
Units Other Than a Unit Square website This lesson helps students to understand the importance of the unit by approaching fractions using area models. 393727 Units Other Than a Unit Squar...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/units-other-than-a-unit-square
Multiplying Fractions by a Whole Number
...end on the number line. What are the students doing? Students will use number lines to develop the concept of fraction multiplication. What is the teacher doing? As students write their solutions remind them that that order in which they write the factors does not affect the product. The Big Idea...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/multiplying-fractions-by-a-whole-number
Mixed Numbers
...nts doing? Division of a whole number by a smaller whole number results in an improper fraction that can be written as a mixed number. What is the teacher doing? Have students work together to predict how the improper fraction will be expressed as a mixed number. The Big Idea Two Columns...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/mixed-numbers
Equations and Operations
...dd or subtract a number from both sides of a given equation and the new equation will have the same solution as the original equation. What is the teacher doing? The focus in this lesson is not on developing a formal procedure for finding solutions but rather on thinking carefully about the struc...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-and-operations
Solving Systems of Equations Algebraically
...algebraically. 448154 Solving Systems of Equations Algebraically Planning and Resources Objectives Students should be able to use algebraic techniques to solve a system of linear equations in two variables, in particular the methods of elimination and substitution and determine elegant ap...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-systems-of-equations-algebraically
Using Structure to Solve Equations
... TNS Lesson Snapshot Students develop an understanding of the logic of equation solving by recognizing the overarching structure within the equation. What to look for In the equation 2(x + 4) = 32, students can recognize that the value of x + 4 is the answer t...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/using-structure-to-solve-equations
Building Expressions in Two Variables
...gative number in simple linear expressions, and second to prepare students for factoring or expanding polynomials. Care should be taken not to overreach with the first level. Sample Assessment Find the value of \(p\) so that the expression \(\frac{5}{6} - \frac{1}{3^n}\) is equivalent to \(p(5...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions-in-two-variables
Dividing a Fraction by a Whole Number
...on both of the unit square and of the mathematical question. Sample Assessment (3/4) of a package of pens is to be shared among six people. a. How much of the whole package does each person get? Answer: Each person will get (3/24) or (1/8) of the package. b. If each package has 16 pens, how man...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-whole-number
Dividing a Whole Number by a Fraction
... TNS Lesson Snapshot Have students connect the whole number to the unit squares and the unit fraction to each partition within the unit square. What to look for Students should see that the quotient is the total number of partitions within the two unit s...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-whole-number-by-a-fraction
Visualizing Linear Expressions
...ual models to make connections between the distributive property and the order of operations when creating equivalent expressions. What is the teacher doing? Encourage students to explore the visual models and look for the connections between the representation and the application of the dis...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-linear-expressions
Creating Parallel Lines and Transversals
Create a pair of parallel lines cut by a transversal and investigate the relationships among the angles that are created.https://education.ti.com/en/activity/detail/creating-parallel-lines-and-transversals
What is your Ratio? Is it Golden?
Students insert a photo of their face and use the measurement tools to determine the ratio of the length of their face to the width of their face.https://education.ti.com/en/activity/detail/what-is-your-ratio-is-it-golden