Equality & Equivalence�Check for Understanding slides
Created as part of the 2024 3-6 Mathematics Webinar Series: Equality & Equivalence
Presented on the 28th August 2024
Checks for understanding ��Understanding the Equal sign Equivalence
Check for Understanding
True or False
3.8 + 4.5 = 4.5 + 3.8
83 ÷ 83 = 0
Assessment for common misunderstandings. (2018, June 24). Www.education.vic.gov.au. https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/misunderstandings.aspx
Check for Understanding
Are the following equations true or false.
Show your working out to justify your response
14 = 10 + 4
8 = 8
6 + 7 = 7 + 6
3 + 4 = 5 + 2
Check for Understanding
13 + 24 = ____ + 8
Check for Understanding
13 - 4 = ____ - 8
Check for Understanding
4 x 6 = ____ x 8
Check for Understanding
5.7 + 3.5= ____ + 1.5
Checks for understanding ��Computational Thinking
True/ False Equations
Are the following equations true or false.
Show your working out to justify your response.
12 - (9 - 2) = (12 - 9) + 2 True or False?
(5 x 4) x 7 = (7 x 4) x 5 True or False?
8 + (3 x 8) = (5 x 8) - 8 True or False?
Open number equations involving mixed operations��Find the missing number
= 12 – 8
3 x 21 = 7 x
(8 x 9) + = 8 x 10
Kızıltoprak, Ayhan. “Relational Thinking: The Bridge between Arithmetic and Algebra.” Lnternational Electronic Journal of Elementary Education, vol. 10, no. 1, 30 Sept. 2017, pp. 131–145, https://doi.org/10.26822/iejee.2017131893 .
Check for Understanding
True or False
5 + 2 + 6 = 14 – 1
18 x 27 + 19 = 27 + 19 x 18
Assessment for common misunderstandings. (2018, June 24). Www.education.vic.gov.au. https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/misunderstandings.aspx
Check for Understanding
True or False
(660 + 60) ÷ 12 − 4 × 5
Check for Understanding
Assessment for common misunderstandings. (2018, June 24). Www.education.vic.gov.au. https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/misunderstandings.aspx
Checks for understanding ��Relational Thinking
True/ False Equations
Are the following equations true or false.
Show your working out to justify your response
37 + 54 = 35 + 5 True or False?
471 + 377 = 472 + 378 True or False?
564 + 56 − 59 = 561 True or False?
31 – 7 = 21 – 17 True or False?
Vale, C. (2013). Equivalence and Relational Thinking: Opportunities for Professional Learning. Australian Primary Mathematics Classroom, 18(2) pp 36 https://files.eric.ed.gov/fulltext/EJ1093128.pdf
Open Equations involving addition
Find the missing number
42 + 54 + = 56 + 45
62 + 38 = 60 +
92 + = 95 + 85
Kızıltoprak, Ayhan. “Relational Thinking: The Bridge between Arithmetic and Algebra.” Lnternational Electronic Journal of Elementary Education, vol. 10, no. 1, 30 Sept. 2017, pp. 131–145, https://doi.org/10.26822/iejee.2017131893 .
Open Equations involving subtraction
Find the missing numbers
71 – 52 = 72 –
75 – 32 = 73 – 28 –
627 – 125 = 625 –
Kızıltoprak, Ayhan. “Relational Thinking: The Bridge between Arithmetic and Algebra.” Lnternational Electronic Journal of Elementary Education, vol. 10, no. 1, 30 Sept. 2017, pp. 131–145, https://doi.org/10.26822/iejee.2017131893 .
Check for Understanding
13 + 7 = ____ + 6
Check for Understanding
5.7 + 3.5= ____ + 1.5