Rational numbers and their properties.
The positioning system of numbers in decimal form. The binary number system and number systems used in some cultures through history, such as the Babylonian.
Main methods of calculating using natural numbers and simple numbers in decimal form when calculating approximations, mental arithmetic, and calcu lations using written methods and calculators. Using the methods in different situations.
Plausibility assessments when estimating and making calculations in everyday situations.
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| Rad | Innehåll | Innehåll |
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Introductory Lesson
Students will review and apply their knowledge of addition and subtraction.
Students will be studying place value while multiplying and dividing by 10/100/1000.
Students will review material covered over the past week and begin using word problems.
Multiplying (written multiplication) Learning intention: to remember the times tables and learning how to multiply bigger numbers Success criteria: by the end of this lesson we will all be able to multiply two-digit by two-digit numbers Click here for the steps (powerpoint) Extension: KS3 Maths progress (Pi one); Unit 5.3; Page 115 - 117.
Learning objective: being able to divide using the bus stop method
Learning Objective: being able to solve problems using division. Such as the bus stop method.
Learning objective: the students will review solving problems using multiplication and division. Word probelms and problem solving will be included in this lesson.
Teaching Point: To understand and practice solving equations using the order of operations with brackets.
Math Message:
How would you solve the following equation? Write down the steps you took to solve it and share your work with a partner. (3 x 7) + 3 =
Lesson:
The Steps:
Things to remember:
Ex: 9 x 2 + 4
§ There are no parentheses or exponents so then move on to multiplication
Ex: 3 x 4 ÷ 6 =
Practice:
Starter:
Insert brackets into the following equation to make the biggest answer possible: 50 / 2 - 3 x 4 + 6
Lesson:
If they can master the following questions:
9 + 2 x 5 - 11
(3 + 4) x (4 - 3)
14 x (15 - 7 + 4)
2 + 9 x 6
18 / (3 x 6 - 9) x 3
3 + 4 x 4 - 3
Then you can do harder questions, for example:
7. 16 / 8 + 2 x 5 - 21 / 7
8. (18 / 3 + 28 / 4 + 2 x 4) / 3
9. 2 + 15 / 3 - 2 x 3 + 10
10. 3 x (24 / 2 - 3 x 4 + 2 x 6)Various Difficult Order of Operation Problems
Objective: to learn how to add and subtract decimals
Lesson:
What numbers would you add to the following numbers to make 10?
o 5,5
o 3,7
o 8,6
o 4,2
· What decimal can be added with each of these to make 1?
o 0,41
o 0,91
o 0,35
o 0,82
What method could you use to solve these questions?
1. 1,7 + 1,577 =
2. 31,745 – 1, 75 =
The column method is used for solving any addition or subtraction questions, placing the numbers in the same units above each other.
Example
In a science lesson, a pupil adds 0.45 kg of water and 0.72 kg of salt to a beaker that weighs 0.09 kg. He then pours out 0.6 kg of the mixture, followed by another 0.14 kg. What is the total mass of the beaker and mixture remaining?
Set out the calculation: 0,45 + 0,72 + 0,09 - 0, 6 - 0,14
First do all the additions together (remember to regroup if needed):
0.45
0.72
+ 0.09
1.26
1.26 0.66
- 0.6 - 0.14
0.66 0.52
Practice:
Objective: to be able to round to the nearest 10, 100, 1000, tenths, hundredths, thousandths Lesson: Complete questions in the textbook pg. 149-150 for more practice Conclusion:
Lesson Objective: The students will be able to multiply whole numbers by decimals and multiply decimals by decimals.
Objective: Students will be able to divide decimal numbers.
Objective: Students will be able to add and subtract negative and positive integers.
Objective: Students will be able to add and subtract negative and positive integers.
+ - = -
- + = -
+ + = +
Learning Intention:
Lesson Intention:
Lesson Intention:
This lesson will be used to review previous material.
Learning Objective: Students will learn how to square numbers and how to find the square root of numbers.
The students will not be in class due to Orienteering day.
The students will complete a checkpoint exam to prepare before the test during week 40.
Lesson Objective: The students will review their checkpoints
Review for the test
Review for the test.
Test day
Extend understanding of fraction equivalence and ordering. Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, = or <, and justify the conclusions (e.g., by using a visual fraction model).