Foundations Sampler 2024

39 Lesson Plans 29 ©MathTeachersPress, Inc. Reproduction by anymeans is strictly prohibited. 29 Read.Underline the question.Circle the needed facts.Complete the problem- solving steps.Label the answer. 1. Toni is reading a bookwith 361 pages. So far she has read 178 pages.Jim is reading a bookwith 240 pages. Howmanymore pages does Toni have to read? Process: + — ÷ Est._________ Actual _________ 3. In a recent election, 1394 people voted forPaul, 942 voted forPaige, and 847 voted forRamona.Howmanymore votes didPaige receive thanRamona? Process: + — ÷ Est._________ Actual _________ 5. TheGoldenGateBridge is 4200 feet long.TheGeorgeWashingtonBridge is 3500 feet long.Which bridge is longer?Howmuch longer? Process: + — ÷ Est._________ Actual _________ 7. A school has 425 girls, 413 boys, and 34 teachers.Howmany students and teachers are in the school? Process: + — ÷ Est._________ Actual _________ 2. The baseball team needs to collect 12,000 cans to raisemoney for new uniforms.Each uniform costs $50. They have collected 7560 cans. Howmanymore cans do they need? Process: + — ÷ Est._________ Actual _________ 4. The stadium holds 12,480 people. OnTuesday, 8762 people came to the game.The hot dog vendors sold 1560 hot dogs.Howmany empty seatswere there? Process: + — ÷ Est._________ Actual _________ 6. The cost ofmaterial for a remodeling jobwas:lumber $1240;hardware $312;paint $183.The labor charge was $3200.Whatwas the total cost formaterials? Process: + — ÷ Est._________ Actual _________ 8. Paul had 178marbles.He gave away 23, then he gave away 47 more.How manymarbles doesPaul have? Process: + — ÷ Est._________ Actual _________ 5 Steps in Problem Solving 200 183 pages 4000 4440 cans 100 95 votes 700 $1700 $1735 130 830 872 108 marbles GoldenGateBridge 700 ft. 3000 3718 seats Objective: To introduce a five-step problem-solving model. Materials: Posterboard and marker to make “Steps in Problem Solving” chart, Five Steps in Problem Solving (Master 10), Effective Questioning for Problem Solving (Master 20) Steps in Problem Solving Write on the board: 234 children from Kennedy School did their homework on Saturday. 472 children did it on Sunday. How many more children did their homework on Sunday? Today we are going to learn some steps to help solve word problems. What is the first thing we must do to solve the problem on the board? (Read it.) Ask a student volunteer to read the problem aloud and tell the story in her own words. If the story is retold correctly, explain that the student has shown that she understands the problem, which is the first step in solving a problem. Make a classroom “Steps in Problem Solving” chart (or refer to Master 10): Steps in Problem Solving Step 1. Read and understand. What is the next step in solving this problem? (Find the question and the needed facts.) What is the question? Underline the question. (How many more children did their homework on Sunday?) What are the facts? (234 children did their homework Saturday; 472 children did their homework Sunday.) Circle these facts. Write on the chart: Step 2. Find the question and the needed facts. What is the next thing you must do? (Decide how to solve the problem.) Write on the chart: Step 3. Decide on a process. Review the meaning of addition (putting things together) and the meaning of subtraction (taking things apart or comparing 2 quantities to find which is more or less). Ask students to suggest ways to decide how to solve a story problem. Elicit several strategies from students, such as: act out the problem, draw a picture, use a model, or make the numbers in the problem smaller (changing 234 to 2 and 472 to 4 or 5). What process should we use to solve the problem? ( subtraction) Before we actually solve the problem, it is a good idea to guess or estimate the answer. Then you will know if your actual answer makes sense or is reasonable. Write on the chart: Step 4. Guess or estimate. Ask a student volunteer to estimate for Step 4 (500 – 200 = 300). After estimating the problem, what should we do? (Solve the problem.) Have a student volunteer solve the problem. How can we decide if the answer is correct? (Check the solution by putting the answer back in the problem.) Write the fifth step on the chart: Step 5. Solve and check back. Walk the students through the steps at the top of the page as you solve problem 1 together. Students will cross out the unnecessary fact, (240 pages) as this fact is not related to the question. Have students complete the page on their own. Skill Builders 45-5 - 5-Step Problem Solving IM1 Lesson Plan Students discover the 5 steps used to solve word problems. Sample of Scripting (Bold Type) Today w are going to learn some steps to help solve word problems. What is the first thing we must d to solve the problem on the board? (Read it.) Ask a student volunteer to read the problem aloud and tell the story in her own words. If the story is retold correctly, explain that the student has shown that she understands the problem, which is the first step in solving a problem.