Two Way Tables and Categorical Data
...mong categorical variables. What to look for Relative frequency is particularly important when comparing groups of different sample size. Sample Assessment The table below describes risk factors for obesity associated with age. a) What do these number represent? Are they frequencies or relative ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/two-way-tables
Transforming Data
...s a fundamental process in data analysis through which unwieldy data can be transformed by shifting or scaling to assist in its analysis. Sample Assessment One of the problems on a mathematics test was incorrectly stated. The teacher decided to add 3 bonus points to everyone's test score. If the ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/transforming-data
Tables and Measures of Center and Spread
...o look for Be sure that students understand that the mean absolute deviation represents the typical difference of the data from its mean. Sample Assessment The table gives the test cores of a number of students. What is the median score for the students? Answer: 85 Understanding Summar...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/tables-and-measures-of-center-and-spread
Expressions & Equations
...n the expression is the base of the exponent, multiplying the exponent and the base, and reversing the role of the base and the exponent. Sample Assessment What is the value of (3.4)( 102 )? a. 3.4 b. 34 c. 340 d. 3400 Answer: c. 340 Understanding Any sequence of multiplications ma...https://education.ti.com/en/building-concepts/activities/expressions
Linear Inequalities in One Variable
... look for Students will encounter the fact that multiplying both sides of an inequality by a negative number does not preserve order. Sample Assessment What are all the possible whole numbers that make 8-___>3 true? a. 0, 1, 2, 3, 4, 5 b. 0, 1, 2, 3, 4 c. 0, 1, 2 d. 5 Answer: b Underst...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/linear-inequalities-in-one-variable
What is a Variable?
...ultiplication and come to understand that the juxtaposition of a number and a variable such as 3x implies multiplication between 3 and x. Sample Assessment If a=115 and b=45, what would be the value of the expression b+(a - b)? a 115 b. 185 c. 205 d. 275 Answer: a. 115 Understanding ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-variable
Visualizing Quadratic Expressions
...uadratic expressions. What to look for Students make connections between the area models and algebraic expressions they represent. Sample Assessment Which of the following expressions are equivalent to \((x + 4)^2\)? \(x^2 + 16\) \(x^2 + 4x + 16\) \((x + 2)^2 + 4(x + 3)\) ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-quadratic-expressions
Adding Ratios
...t each segment represents. Discuss as a class the effects the rates associated with the two ratios have on the steepness of the segments. Sample Assessment The ratio 50:100 is equivalent to the ratio 1:2 and the ratio is 75:100 is equivalent to the ratio 3:4. Is the sum of the ratios 50:100 and 7...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/adding-ratios
Equations of the Form ax+by = c
...hat for equations of the form \(ax+by\) = c where \(a\) and \(b\) are positive, the slope of the "solution line" is always negative. Sample Assessment Which of the following ordered pairs \((x, y)\) is a solution to the equation \(2x+3y = 6\)? a. (6, 3) b. (3, 0) c. (3, 2) d. (2, 3) e. (0, ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-of-the-form-ax-plus-by-equals-c
Comparing Units
...to explore the file using different sized wholes and fractions. Encourage students to explain their reasoning for each of. their answers. Sample Assessment Petre had (1/3) of a 6-inch long candy bar and Sande had (1/2) of 4-inch candy bar. Who had the most candy? Answer: Petre had 2 inches of his...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/comparing-units
Creating Equivalent Fractions - Texas Instruments
...o look for Have students observe several examples of creating equivalent fractions. Then lead them in a discussion of their observations. Sample Assessment a. (5/4) = (BLANK/BLANK) Possible answer: (5/4) = (15/12) b. (3/ BLANK) = (BLANK/ 21) Possible answer: (3/7) = (9/ 21) Understanding ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/creating-equivalent-fractions
Fractions and Unit Squares - Texas Instruments
...nguage of tiling is one possible instance—a region is tiled by a shape if it is completely covered by the shape with no gaps or overlaps. Sample Assessment Identify three fractions equivalent to (4/12). Answer: (1/3), (2/6), (3/9), … Understanding A unit on a number line can be relat...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-and-unit-squares
What is an Equation?
... expression is a mathematical phrase involving numbers, variables, mathematical operations, and mathematical symbols such as parentheses. Sample Assessment If k can be replaced by any number, how many different solutions can the equation k+6=0 have? Answer: One Understanding In an equat...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-equation
What is an Exponent?
...n the expression is the base of the exponent, multiplying the exponent and the base, and reversing the role of the base and the exponent. Sample Assessment What is the value of (3.4)( 102 )? a. 3.4 b. 34 c. 340 d. 3400 Answer: c. 340 Understanding Any sequence of multiplications ma...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-exponent
Fraction Multiplication
...or Be sure students understand that the whole number 2 would be represented by shading two of the unit squares and by the fraction (2/1). Sample Assessment What is the product of (4/7) x (3/2)? Answer: (12/14) Understanding The product of two fractions is the product of the numerators ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fraction-multiplication
Fractions as Division
...r reasoning. Have students work independently then have the class work together to find the solutions using the interactive number lines. Sample Assessment If 3 granola bars are to be shared among 4 students how much will each student get? a. (1/4) of a granola bar b. 1 (1/3) of a granola bar c....https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-as-division
Pre-Calculus & Calculus Case Studies by Texas Instruments - US and Canada
...wo Rural High Schools Teacher/Researcher: Kathy Gillespie, Motley County ISD, TX Nancy Trapp, Lyford CISD, TX Location: Title I schools in two small rural districts with about 80% economically disadvantaged students Course: Precalculus Grade: 11 and 12 Student Profile: 1 of each teacher...https://education.ti.com/en/resources/funding-and-research/research/research_casestudies_calculus
Learning Gains from Teaching with Graphing Calculators
...tical concepts. Graphing calculators enable students to explore connections across multiple representations. Recent extensions support formative assessment via a wireless network. Graphing calculators are aligned with existing standards and curricula and support valuable pedagogical practices, s...https://education.ti.com/en/resources/funding-and-research/research/research_highqualityteaching
Making Music With Code | Borrow | Texas Instruments
...of borrow, you can request a quote to purchase TI technology from an authorized dealer. Request a quote Ask us for anything There’s no issue too small for us. We’re happy to answer any of your questions, or provide you with direct customer support throughout every phase of this project. Sim...https://education.ti.com/en/resources/stem/projects/making-music-with-code/borrow
Ratios & Proportions
...nt ratios. What to look for Students should explore how changing the ratio of circles to squares affects corresponding equivalent ratios. Sample Assessment Which of the following pairs of ratios are equivalent? a. 6:3 and 5:10 b. 6:3 and 3:6 c. 6:3 and 12:6 d. 3:1½ and 6:3 Answer: c and d Und...https://education.ti.com/en/building-concepts/activities/ratios
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