Math Trailblazers Homework Help-Fourth Grade Unit 7 Dear fourth grade parents, Thank you so much for coming to this page to find out more about the math your child is bringing home. Every page that your child could bring home is listed in this chart. Do not expect your child to bring every page home. Often a teacher will note that the student already has a healthy command of a skill, making assignment of homework unnecessary. At other times the teacher may have a different assignment that (s)he feels is more appropriate. To use these pages, find the Unit and Lesson numbers on the bottom of your child’s assignment page or textbook and then click on the corresponding blue link in the table. You will find information about the skills being practiced and occasionally extra notes will provide background information or tips on how to extend the activity to make it more or less challenging. Click links in this column Activity Unit 7 Background Info Unit 7 DAB p.85 Memorizing multiplication facts Unit 7 DAB p.86 Estimation Unit 7 DAB p.87 Large number place value Unit 7 DAB p.88 Subtracting small amounts and convenient numbers Unit 7 page 189 Place value with large numbers of acres Unit 7 pages 195-196 Relating exponents to real-life situations Unit 7 pages 199-200 Working with large numbers Unit 7 pages 205-206 Finding 10% of different amounts Unit 7 pages 209-210 Rounding, adding and subtracting large numbers To read the small pages more easily, set the image size to 200%. Please remember that skills in our Trailblazers program are repeated many times during the year. If your child is struggling with a skill in Unit One it should not be as much of a concern as if your child continues to struggle with the same skill when you see it reviewed near the end of the book. Math Trailblazers 1 Fourth Grade - Unit 7 – Homework Help Back to Index Unit 7 Background Information for Student Guide pages 189, 195-196, 199-200, 205-206 and 209-210. Students use rules of divisibility in many activities in this unit. In case it has been a few years since you last used divisibility rules, here they are… 2 - all even numbers are evenly divisible by 2. 3 – if the sum of the digits is evenly divisible by three then the number is also. 6 – if a number follows both rules for two and three, then it is divisible by six. 5 – numbers ending with 0 or 5 are evenly divisible by five. 10 – numbers ending with 0 are evenly divisible by ten. 9 – if the sum of the digits is evenly divisible by nine then the number is divisible by nine. Students will also use both the traditional and partial products methods to multiply two digit by two digit numbers. Here is a comparison of the two methods. Standard and Partial Products Multiplication Standard Partial Students have been introduced to both the standard Algorithm Product Algorithm and also the partial products algorithm. Different 4 48 48 kids prefer different algorithms. The partial products x6 x6 method has kids multiply 6x8 and write the product. Then 48 288 the child multiplies 6x40 (the four in the tens column) to get 240 240. The two products are finally added together. 288 Math Trailblazers 2 Fourth Grade - Unit 7 – Homework Help Back to Index Memorizing Multiplication Facts The last six facts are usually the hardest for children. Again remind them to work on them one at a time. When he or she has learned one, then it is time to work on the next one. Order of Operations Adults have agreed to calculate multiplication and division before addition and subtraction (just so everyone is doing the calculation the same way). 4+3X2=14 when the addition is done first. When order of operations is employed, the multiplication occurs first and the four is added to make ten. Please be aware that some calculators automatically use order of operations and other calculators do not. Back to Index Divisibility Rules In case it has been a few years since you last used divisibility rules, here they are… 2 - all even numbers are evenly divisible by 2. 3 – if the sum of the digits is evenly divisible by three then the number is also. 6 – if a number follows both rules for two and three, then it is divisible by six. 5 – numbers ending with 0 or 5 are evenly divisible by five. 10 – numbers ending with 0 are evenly divisible by ten. 9 – if the sum of the digits is evenly divisible by nine then the number is divisible by nine. Math Trailblazers 3 Fourth Grade - Unit 7 – Homework Help Back to Index Partial Products Multiplication Students have been introduced to both the standard algorithm and also the partial products algorithm. Different kids prefer different algorithms. The partial products method has the kids multiply 6x8 and write the product. Then the child multiplies 6x40 (the four in the tens column) to get 240. The two products are then added together. Back to Index Solving Problems Using Multiplication Students may use the partial products algorithm (calculation pattern) or the standard algorithm with these questions. It is important that they know how which ever algorithm they choose works. Math Trailblazers 4 Fourth Grade - Unit 7 – Homework Help Q 11-12 Practice multiplying with numbers from a story problem. Back to Index Unit 7 Page 189 Q 1-5 The divisibility rules on the previous page should help. To check yourself, 3288 and 9036 are the only numbers evenly divisible by 2, 3, 6 and 9. Q 6 The numbers marked for multiples of 10 form one column. The multiples of five repeat the 10 column but also have a separate column of numbers ending in five.. Q 7-10 Here are the equations with parentheses which are not required but emphasize the order of operations. (6x7) – (8x4) 1 + (48÷8) 4 + (7x8) Back to Index Unit 7 Page 205-206 Q 1-6 This is a mixture of multiplication and addition problems. It is important for students to recognize that when equal size groups are repeated they can multiply. When the groups are different sizes, the only choice is to add. Q 7 The word “about” in this question should help the child recognize that an estimate is ok. Some may estimate 20 -10 = 10,000. Others may estimate 20-14 = 6,000. The estimate they choose gives a hint of the calculation skills the child is comfortable with. Q 8-13 Many children will have greater difficulty locating the correct numbers on the data table than performing the correct calculations on those numbers. (4x7) – (24÷6) Back to Index Unit 7 Page 195-196 Q 1-13 In each case the significant digits can be multiplied and the correct number of zeros added afterward. Q 14-20 Practice multiplying the significant digits and adding zeros with story problems. Q 21-29 Fill in the missing number using logic rather than a calculator. Back to Index Unit 7 Page 199-200 Q 1-3 These provide additional practice where the significant digits can be multiplied and the correct number of zeros added afterward. Q 4-6 Practice multiplying the significant digits and adding zeros with story problems. Q 7-9 Students are asked to fill in the missing numbers in multiplication calculations using the partial products method. (see the previous page for a review of the partial products method.) Q 10 These calculations can be completed with the partial product method or the standard algorithm. Math Trailblazers 5 Fourth Grade - Unit 7 – Homework Help Back to Index Unit 7 Page 209-210 Q 1-10 These provide additional practice where the significant digits can be multiplied and the correct number of zeros added afterward. Q 12-14 Some convenient numbers could be 40 x 8 75 x 4 70 x 7 Q 15 It is possible to multiply 70 x 7 and then subtract seven from that product. Some convenient numbers could be Q 16 60 x 30 or 60 x 35 Q 17 50 x 80 Q 18 300 x 70 Q 19 500 x 90 Q 20-24 Practice multiplying with numbers from a story problem. Math Trailblazers 6 Fourth Grade - Unit 7 – Homework Help
© Copyright 2026 Paperzz