General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
Items may contain whole numbers within 1,000,000. Items may not compare digits across more than 1 place value.
No
No context
Sample Test Items (2)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | How many times greater is the value of the 4 in 640,700 than the value of the 4 in 64,070? |
N/A | EE: Equation Editor |
| Sample Item 2 | How many times greater is the value of 5 in 2,573 than the value of
5 in 6,459?
|
N/A | MC: Multiple Choice |
Related Courses
| Course Number1111 | Course Title222 |
| 5012060: | Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) |
| 7712050: | Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
| 5012065: | Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) |
| 5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) |
Related Resources
Formative Assessments
| Name | Description |
| Comparing Amounts of Baseball Cards | Students are asked to compare the value of the digit three in 35 baseball cards to the value of the digit three in 350 baseball cards. |
| Base Ten Place Value | Students are given opportunities to explain the relationship between place value and the power of ten in multiplying and dividing. |
| Seven Hundred Seventy Seven | Students are asked to consider the number 777 and how each of the digits in the number are related. |
| Family Vacations | Students are given three-digit numbers in the context of a word problem and are asked to tell how much greater the digit in the tens place is than the digit in the ones place. |
Lesson Plans
| Name | Description |
| 10X Bigger! | In this lesson students will move from constructing concrete models of what happens to a number when you multiply the number by 10 into drawing their own pictorial representations of the same process with numbers up to 1,000. They will develop an understanding of the rule 'a digit in one place represents ten times what it represents in the place to its right' and apply this rule to a variety of situations. |
| What's My Value? | This lesson will allow students to deepen their knowledge in place value. The teacher will use modeling, guided math groups, and independent practice to help students understand that the digit in one place represents ten times what it represents in the place to its right. Students will use base 10 blocks to build numbers and make general observations about the values of numbers. Students will also draw and label models, to make understanding concrete. In groups of 4-5, students will work together and discuss (using discussion questions) to deepen their knowledge on the topic. |
| Terrific Tim’s Ten Tiny Toes | Students will learn how a digit in one place represents ten times what it represents in the place to its right. Students will model and solve real-world problems on their own and with their friends using word problems, snacks, and their friends' toes! |
| The Right Rental | In this MEA students will have to find the right rental for a client as they use their knowledge of numbers and some reasoning. Students will read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
Original Student Tutorial
| Name | Description |
| The Treasure of Aryabhata: Place Value Comparison | Help solve mysteries built on patterns of ten to discover the treasure of our number system in this interactive student tutorial. |
Tutorial
| Name | Description |
| How to use an abacus (to represent multi-digit numbers) | In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right. |
Student Resources
Original Student Tutorial
| Name | Description |
| The Treasure of Aryabhata: Place Value Comparison: | Help solve mysteries built on patterns of ten to discover the treasure of our number system in this interactive student tutorial. |
Tutorial
| Name | Description |
| How to use an abacus (to represent multi-digit numbers): | In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right. |
Parent Resources
Tutorial
| Name | Description |
| How to use an abacus (to represent multi-digit numbers): | In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right. |