Extending Exponents
...exponent and the base, reversing the role of the base and the exponent, and assuming a negative exponent changes the sign of the base. Sample Assessment Which of the following expressions are equivalent to \(\frac{3^{-8}}{3^{-4}}\)? a. \(3^{-12}\) b. \(3^4\) c. \(3^2\) d. \...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/extending-exponents
Building a Table of Ratios
...n they begin to compare ratios. What to look for Have students explain their strategies for solving problems involving equivalent ratios. Sample Assessment If Sara used 3 cups of pancake mix to make 24 pancakes, how many cups would she need to make 40 pancakes? Answer: 3:24 is equivalent to 1:8, ...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/building-a-table-of-ratios
Dividing a Fraction by a Fraction
... fractions and the role of equivalent fractions in the process. This can lead to a productive discussion about the mathematical concepts. Sample Assessment How many (3/4)-cup servings are in (9/2) cups of yogurt? Answer: 6 cups Understanding One way to think about a divided by b is to t...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-fraction
Solving Equations
... equations in one variable. What to look for Students may be challenged when looking for solution pathways that are non-routine. Sample Assessment Which equation has the same solution as \(4-2(x-5)=x-19\)? a. \(2(x+5)=-8\) b. \(3(x-3 )=9\) c. \(x+2=2x-3\) d. \(3x-4= 2x+7\) Ans...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-equations
Building Expressions
...s but not 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 expression...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions
What's a Solution to a System of Equations?
...tudents make the connection between the \((x, y)\) pair that makes each equation true and the point of intersection of the two lines. Sample Assessment Joe solved this linear system correctly. \(6x+3y=6\) \(y=2x+2\) These are the last two steps of his work \(6x-6x+6=6\) \(6=6\) Which statem...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-solution-to-a-system-of-equations
Visualizing Systems of Linear Equations
...and how they must be the same, while others may reason by identifying numbers that make the mobile unbalanced and in which direction. Sample Assessment "A store sells white scarves and red scarves. A white scarf costs $3 and a red scarf costs $5. On Monday, the store sold 12 scarves for a tot...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-systems-of-linear-equations
Moving from Proportional Relationships to Linear Equations
...ny line. What to look for Student discussion may provide an opportunity to discuss why the denominator of a fraction cannot be zero. Sample Assessment Consider the graph of a line. Which equation has a slope greater than the slope for the line shown? a. \(y = 3x-1\) b. \(y = \frac{...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/proportional-relationships-to-linear-equations
Adding Fractions with Unlike Denominators
...are congruent. If the denominators have a common factor, however, the rectangles are not necessarily congruent, as displayed in the file. Sample Assessment If one part of a recipe calls for (2/3) cup of milk and another part of the same recipe calls for (3/4) cup of milk, how much milk do you ne...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-fractions-with-unlike-denominators
Units Other Than a Unit Square
... fractions, and adding and subtracting fractions, noting that these operations only make sense if the fractions represent the same whole. Sample Assessment A box of granola bars contains 18 bars. How many bars will be in (2/3) of the box? Answer: 12 bars Understanding If two unit square...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/units-other-than-a-unit-square
Multiplying Fractions by a Whole Number
...ogether using the interactive number line to find the product of two numbers, then have them find an equivalent fraction for the product. Sample Assessment Insert values into the blanks to make a true statement (a number may be used more than once). 3, 5, 6, 8, 2, 10, 12 Possible answer: 5...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/multiplying-fractions-by-a-whole-number
Mixed Numbers
... What to look for Lead students in a discussion about the relationship between the numerator and the denominator in an improper fraction. Sample Assessment Order the following from smallest to largest. Answer: Thinking in mixed numbers is easier than fractions. Understanding What ar...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/mixed-numbers
Equations and Operations
...on might be in the question above where x could represent the number of brownies Steve got or the total number of brownies his team made. Sample Assessment What number makes the following equation true? 112 + x = 34 Answer: 23 Understanding You can add or subtract a number from both...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-and-operations
Solving Systems of Equations Algebraically
... flexibility in solving systems of equations and recognizing patterns that indicate which method is most efficient for a given system. Sample Assessment Mary is buying tickets for a movie. Each adult ticket costs $9. Each child ticket costs $5. Mary spends $110 on tickets. ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-systems-of-equations-algebraically
Using Structure to Solve Equations
...equation 2(x + 4) = 32, students can recognize that the value of x + 4 is the answer to the question "2 multiplied by what number is 32? Sample Assessment The solution to the equation -3x - 29 = -5 will also be the a solution to which of the following equations? a. 3x = -24 b. 3x = -24 d. 3x - ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/using-structure-to-solve-equations
Adding and Subtracting Fractions with Like Denominators
...tudents illustrate the subtraction on number lines they have drawn. Then have them model the subtraction on the interactive number lines. Sample Assessment In how many ways can you decompose (5/4) into the sum of two fractions with a denominator of 4? Answer: (1/4)+(4/4); (2/4)+(3/4); (0/4)+(...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-and-subtracting-fractions-with-like-denominators
What is a Fraction? - Texas Instruments
... learn that the denominator indicates the number of equal parts in each whole unit and the numerator indicates the number of those parts. Sample Assessment Which fraction has a value closest to (1/2) ? a. (5/8) b. (1/6) c. (2/2) d. (1/5) Answer: a Understanding A fraction is a number t...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/what-is-a-fraction
Building Expressions in Two Variables
...ns, 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 \(p(5-2n)\). Answer: \(\frac{1}{6}\) 439...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions-in-two-variables
Equivalent Fractions - Texas Instruments
...nize that, as with whole numbers, when ordering fractions the larger of two fractions is located farther to the right on the number line. Sample Assessment Write a comparison statement to order the fractions from least to greatest. (25/12), (13/12), (9/10), (13/5) Answer: (9/10) (13/5) Understan...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/equivalent-fractions
Dividing a Fraction by a Whole Number
...y a whole number can lead to a productive discussion about their interpretation 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...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
...in the unit square. What to look for Students should see that the quotient is the total number of partitions within the two unit squares. Sample Assessment Consider the following problem: You used 2 (2/3) cups of sugar to make 4 batches of pancake batter. How many cups would you use for 1 batch o...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-whole-number-by-a-fraction
Visualizing Linear Expressions
...r Students can use the distributive property to write equivalent expressions involving the operations of multiplication and addition. Sample Assessment Select all the expressions that are equivalent to \(8(t+4)\). a. \(2(4t+2)\) b. \(t+32\) c. \(4t+4+4t\) d. \((8+t)+(8+4)\) e. (8 x \...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-linear-expressions
STEM Resources | Professional Learning | Texas Instruments
...nts global website Overview DesignSmart Systems ControlRobotic Vehicles ProfessionalLearning Pilot andPurchase .s...https://education.ti.com/en/resources/stem/professional-learning
STEM Resources | Pilot Program & Purchase | Texas Instruments
...nts global website Overview DesignSmart Systems ControlRobotic Vehicles ProfessionalLearning Pilot andPurchase .s...https://education.ti.com/en/resources/stem/pilot-purchase
Math Resources | Hands-On Math Activities | Texas Instruments
Download premade math lessons for middle school and high school classes. Explore interactive, hands-on math activities to use with TI technology. Find out more. Math Resources | Hands-On Math Activities | Texas Instruments Resources website ...https://education.ti.com/en/resources/math/lessons