2024 FTCE K -6 FINAL EVERYTHING SUBJECT AREA MATH TEST WITH 100% COMPLETE SOLUTIONS RATED A (EXPERT VERIFIED) Which of the following desc ribes the problem structure? - ✔✔✔ Correct Answer > Equal groups, Division Analyze the sample scenario to answer the following question. There were 4 frogs in the pool. Some more frogs hopped in the pool with them. Then there were 12 frogs. How many frogs joined the 4 frogs in the pool? Which of the following describes the problem structure? - ✔✔✔ Correct Answer > Join, result unknown Area Model - ✔✔✔ Correct Answer > students divide shapes into the appropriate number of equal sections given by the denomina tor, then shade in the appropriate number of sections, given by the numerator to create a picture of the fraction. Equivalent fractions are also developed using this area model. Teachers may use any of these manipulatives to develop the area model: `Patter n Blocks `Circular fraction regions `Pizzas `Geoboards `Spinners Arrays Strategy - ✔✔✔ Correct Answer > a pictorial representation of a multiplication problem associatve property of addition - ✔✔✔ Correct Answer > a + (b+c) = (a+b) +c 3 + (7+29) = (3+7)+29 Automaticity - ✔✔✔ Correct Answer > Knowing math facts (addition, subtraction, multiplication, and division) with instant recall and being able to make mental math calculation (compensation, estimation) without hesitation bar graph - ✔✔✔ Correct Answer > A graph that uses horizontal or vertical bars to display data, addtionally used to compare data. The histogram compares data in ranges and has no spaces between the bars. Base Ten Strategy - ✔✔✔ Correct Answer > a way students can use to learn addition, su btraction, number sense, place value and counting. this can be with manuipulatives or pictorals Burritos are served with various choices of each of 3 layers of toppings. Customers may choose one of the following as the base: beans, beef, chicken. They may choose one vegetable topping: Lettuce, tomatoes, onions, or olives. They may also choose one con diment topping: sour cream, guacamole, cheese or salsa. How many different burritos can be made from all these choices? - ✔✔✔ Correct Answer > 48 Calculator using scientific notation will display 3,200,000 as which of the following? - ✔✔✔ Correct Answer > 3.2 x 10^6 Calculators can be used most effectively in an elementary school for what? - ✔✔✔ Correct Answer > Introducing mathematical concpets Commutative Property of Addition - ✔✔✔ Correct Answer > a+b=b+a 4+7 = 7+4 Company XYZ has a total monthly paymen t of 6894of which 1447.74 is for employee fringe benefit. What percent of the total pay roll goes for fringe benefits? - ✔✔✔ Correct Answer > 21% Compare the twi triangles - ✔✔✔ Correct Answer > Rotation Compensation (Borrowing Between Numbers) - ✔✔✔ Corre ct Answer > 134 + 36 = 140 + 30 (the six was borrowed from the 36 and added to the 134) 35 - 18 35 - 20 = 15 15 + 2 = 17 (18 was rounded to 20 and they subtracted 2 too many, then the 2 was added back to the 15) Composite Number - ✔✔✔ Correct Answer > a number that has more than two factors Conceptual Understanding - ✔✔✔ Correct Answer > Comprehension of mathematical concepts, operations, and relations Concrete models are critical for - ✔✔✔ Correct Answer > deep understanding Decagon - ✔✔✔ Correct Answer > 10 sided polygon Determine which choice best shows the distributive property of multiplication. A. 9 × 5 = 5 × 9 B. 9 × 1 = 9 C. (9 × 5) × 7 = 9 × (5 × 7) D. (9 × 5) + (9 × 7) = 9 × (5 + 7) - ✔✔✔ Correct Answer > (9 × 5) + (9 × 7) = 9 × (5 + 7) Divis ion Rule for Exponents - ✔✔✔ Correct Answer > a^x / a^y = a ^x -y (subtract exponents) Dodecagon - ✔✔✔ Correct Answer > 12 sided polygon During a certain time perios, 2,000,000 oz of gold was produced in the United States. Use the following graph to determi ne the amount of gold produced in Arizona and Colorado. [Arizona 8%, Colorado 5%] - ✔✔✔ Correct Answer > 260,000 8+5 = 13*2,000,000 Early elementary students are not ready for - ✔✔✔ Correct Answer > abstract reasoning Estimate the average height of an adult male - ✔✔✔ Correct Answer > 180 cm Estimate the average height of an adult male - ✔✔✔ Correct Answer > 180 cm Estimate the length of a new pencil - ✔✔✔ Correct Answer > 20 cm Estimate the length of a new pencil - ✔✔✔ Correct Answer > 20 cm Estimate the length of a U.S. Dollar bill - ✔✔✔ Correct Answer > 15 cm Estimate the mass of a slice of bread - ✔✔✔ Correct Answer > 25 g Estimate the temperature of the human body Is it: 101 degrees F 37degrees F 101 degrees C 37 degrees C - ✔✔✔ Correct Answer > 37 degrees C Estimate the weight (mass) of an adult female. - ✔✔✔ Correct Answer > 55 kg Find the 8th term of the geometric sequence: -9,36, -144 - ✔✔✔ Correct Answer > 147465 Find the 8th term of the geometric sequence: -9,36,-144 - ✔✔✔ Correct Answer > 147465 Find the greatest common factor of 34, 102, & 170 - ✔✔✔ Correct Answer > 34 Find the greatest common factor of 36, 135, 144 - ✔✔✔ Correct Answer > 9 Find the least common multiple of 8, 15, & 60 - ✔✔✔ Correct Answer > 120 Find the sum of the angle measures of the interior angle of the octagon below - ✔✔✔ Correct Answer > 1080 n -8 * 180 = 1080
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