YR 7: WK 6 TOPIC: FRACTIONS, DECIMAL AND PERCENTAGES 8/9/2023 10:24:10 AM (������) 0.545454 60 11 −55 − 4540 − 5605 − 5404 60 55 50 44 6 ������������������ = 0.545454
YR 7: WK 6 TOPIC: FRACTIONS, DECIMAL AND PERCENTAGES 8/9/2023 10:24:10 AM CONVERSION OF DECIMALS TO FRACTIONS Change the following decimals to fractions. (a) 0.4 (b) 0.067 SOLUTION (������) 0.4 = .4 = 4 2 = 2 10 10 5 5 (b) 0.067 = .067 = 67 1000 1000
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES Evaluation8/9/2023 10:24:10 AM Change to decimals: Change to fractions: Question 1 3 Question 5 0.025 5 Question 2 5 Question 6 8.25 8 Question 3 6 7 Question 4 1 8 3
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES 8/9/2023 10:24:11 AM CONVERSION OF FRACTIONS TO PERCENTAGES “Percent’’ means per hundred or ‘out of ‘hundred’ or ‘in every hundred’. For example, when we say a student obtained 63 percent in a test, what we mean is that he or she had 63 marks out of 100 marks this is usually written as 63%. Where the symbol % means percent. To convert a fraction into a percentage, multiply it by 100. EXAMPLES Express these fractions as percentages ������ 1 ������ 25 ������ 5 4 400 8
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES 8/9/2023 10:24:11 AM SOLUTION ������ 1 × 100 = 25% 4 ������ 25 × 100 = 25 = 6 14% 400 4 ������ 5 × 25 = 125 = 62 12% 8 2 100 2
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES 8/9/2023 10:24:11 AM CONVERSION OF PERCENTAGES TO FRACTIONS EXAMPLES (a) 30% (b) 75% (c) 13 ¾ % SOLUTION (a) 30% = 30 = 3 100 10 (b) 75% = 15 3 = 3 4 75 100 20 4
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES 8/9/2023 10:24:12 AM (c) 1334% = 11 55 × 1 = 11 4 80 10020
YR 7: WK 6 TOPIC: FRACTIONS, DECIMALS AND PERCENTAGES Evaluation8/9/2023 10:24:12 AM Express these fractions as percentages: Change the percentages to fractions: Question 1 1 Question 5 36% 40 Question 2 5 Question 6 2541% 8 Question 3 3 Question 7 45% 10 Question 4 7 16
PHIDEL GROUP OF SCHOOLS, LAGOS Any Questions?
YR 7: WK 8 8/9/2023 10:24:12 AM LESSON OBJECTIVES: WEEK 8 TOPIC At the end of the lesson, students SEQUENCES should be able to: HOME PAGE Define and generate sequence KEY NOTES: Find the term-to- Sequence term rule of a sequence Find the nth term of a sequence. Generate sequences from spatial patterns.
YR 7: WK 8 TOPIC: SEQUENCES 8/9/2023 10:24:13 AM A sequence is an ordered set of numbers. Each number in the sequence is called a term. The terms of a sequence form a pattern. Below are examples of sequences: 2, 4, 6, 8, 10, 12, …………. In the sequence above, we are adding 2 to each term 1, 2, 4, 8, 16, 32, …………. In the sequence above, we double each term (i.e. x 2)
YR 7: WK 8 TOPIC: SEQUENCES 8/9/2023 10:24:13 AM SEQUENCES IN DIAGRAMS Sequences can also be expressed as a series of diagrams. The example below shows the first four diagrams in a sequence of tile patterns. Number of white 1 23 4 tiles 3 45 6 Number of coloured tiles
YR 7: WK 8 TOPIC: SEQUENCES 8/9/2023 10:24:13 AM EXAMPLE If there are 100 white tiles, how many coloured tiles are there? SOLUTION from the diagram, let the no of white tiles = n no of coloured tiles = n + 2 if n = 100 (no of white tiles ) ∴ no of coloured tiles = n + 2 = 100 + 2 Ans = 102
YR 7: WK 8 TOPIC: SEQUENCES Evaluation 8/9/2023 10:24:13 AM Using the diagram in the previous slide, draw the next five (5) diagrams
YR 7: WK 8 TOPIC: SEQUENCES 8/9/2023 10:24:13 AM Term – to – term rules A rule which describes how to get from one term to the next is called a term-to –term rule. EXAMPLE Here is a sequence of numbers. 4, 9, 14, 19 , 24 , …………. Write down the term-to- term rule for this sequence (Ans = 5n-1)
YR 7: WK 8 TOPIC: SEQUENCES Evaluation 8/9/2023 10:24:13 AM Here is a sequence of numbers. 1, 3, 9, 27 , 81 , …………. Write down the term-to- term rule for this sequence
PHIDEL GROUP OF SCHOOLS, LAGOS Any Questions?
YR 7: WK 9 8/9/2023 10:24:14 AM LESSON OBJECTIVES: WEEK 9 TOPIC At the end of the lesson, students ALGEBRAIC EXPRESSIONS AND should be able to: EQUATIONS Simplify algebraic HOME PAGE expressions solve simple equations KEY NOTES: Algebra, Equation
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:14 AM An algebraic expression is a collection of algebraic terms. To simplify an expression means to reduce it to its lowest form. This involves grouping like terms together (i.e positive & negative terms) EXAMPLE 1 Simplify 3a – 8a + 5a + 9a – 2a. SOLUTION By taking positive terms first, 3a + 5a + 9a – 2a – 8a. = 17a – 2a – 8a. = 17a – 10a = 7a.
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:14 AM EXAMPLE 2 Simplify 3m – 8m - 2m + 16m - 4m . SOLUTION By taking positive terms first, 3m + 16m - 4m – 8m - 2m . = 19m - 4m – 8m - 2m . = 19m - 14m = 5m
YR 7: WK 6 ALGEBRAIC EXPRESSIONS AND EQUATIONS Evaluation 8/9/2023 10:24:14 AM Simplify the following Question 1 9m - 6m + 4m – 8m + 12m . Question 2 2a + 5a – 4a + a Question 3 3y - 5y + 9y – 2y + 8y. Question 4 9ℎ − 3ℎ − ℎ
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:15 AM SIMPLE EQUATIONS To solve an equation means to find the value of the unknown that makes the equation true. EXAMPLE 1 x + 3 = - 5 , Find x. SOLUTION x + 3 = -5 collect like terms (CLT) x = -3 - 5 x = -8
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:15 AM EXAMPLE 2 Solve the equation 18 − a = 7. SOLUTION 18 − a = 7. collect like terms (CLT) − a = 7 − 18 − a = − 11 a = 11
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:15 AM EXAMPLE 3 3b = 15 Find b. SOLUTION 3b = 15 divide both sides by 3 33������= 15 5 3 1 b=5
YR 7: WK 9 TOPIC: ALGEBRAIC EXPRESSIONS AND EQUATIONS 8/9/2023 10:24:15 AM EXAMPLE 4 ������ = 5 , Find c. 6 SOLUTION ������ = 5 (������������������������������������������������������������������������������) 6 1 ������ × 1 = 5 × 6 ������ = 30
YR 7: WK 9 ALGEBRAIC EXPRESSIONS AND EQUATIONS Evaluation 8/9/2023 10:24:16 AM Solve the following Q41udesti=on2121 , Find d. Question 2 5e - 6 = 29 , Find e. Question 3 Solve 21 = 9 + 2f . Question 4 3������ + 4 = 22
PHIDEL GROUP OF SCHOOLS, LAGOS Any Questions?
YR 7: WK 10 8/9/2023 10:24:16 AM LESSON OBJECTIVES: WEEK 10 TOPIC At the end of the lesson, students ESTIMATION AND APPROXIMATION should be able to: HOME PAGE Estimate the KEY NOTES: lengths, mass, volumes or Estimation , Approximation capacity of objects Define approximation Round off numbers to certain degree of accuracy .
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:16 AM Estimation is making guess of the nearly correct calculation in distance, weight, price or capacity of things without the actual measurement or calculation. Even though it is not accurately done, it gives a good idea of the correct answer. ROUNDING OFF NUMBERS To round off a number means to find an approximate value. When rounding off numbers, round up or round down. ROUND DOWN 0, 1, 2, 3, 4 and ROUND UP 5, 6, 7, 8, 9.Change all digits to the right of the target digit to zeros.
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:16 AM ONE SIGNIFICANT FIGURE/ NEAREST WHOLE NUMBER Significant figures begin from the first non-zero digit at the left of a number. When approximating, it is often enough to round off numbers, either to one significant figure(S.F) or to the nearest whole number. Significant means IMPORTANT. 75k = ₦1 to the nearest whole naira. 4.82 = 5 to the nearest whole number. 2������������ = 2 to the nearest whole number.
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:17 AM EXAMPLE 1 Round off 713 to 1 s.f SOLUTION 7 1 3 = 700 EXAMPLE 2 Round off 0.275 to 1 s.f SOLUTION 1 0. 2 7 5 = 0. 375
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:17 AM EXAMPLE 3 Round off 124.25 to 2s.f SOLUTION 1 2 4 .2 5 3 = 120 EXAMPLE 4 Round off 25246 to 3 s.f SOLUTION 2524 6 = 25200
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:17 AM EXAMPLE 5 Round off 69.65 to the nearest ten SOLUTION TU 6 9 . 6 5 = 70 EXAMPLE 6 Round off 69. 65 to the nearest tenth SOLUTION tenth hundredth 1 6 9 . 6 5 = 6 9.7
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:17 AM EXAMPLE 7 Round off 69.65 to the nearest whole number SOLUTION 1 6 9 . 6 5 = 70 EXAMPLE 8 Round off 69. 065 to 2d.p SOLUTION 1 69.0 6 5 = 6 9.07
YR 7: WK 10 ESTIMATIONS AND APPROXIMATIONS Evaluation 8/9/2023 10:24:17 AM Question 1 Round off 7058 to 2 s.f Question 2 Round off 6568 to 2 s.f Question 3 Round off 3.051 to 1 d.p Question 4 Round off 53.058 to 2d.p
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:18 AM APPROXIMATION When approximating, use rounded numbers: 1 significant figure is usually enough or to the nearest whole number. The symbol means “approximately equal to” EXAMPLE 1 What is the approximate answer to 508 + 291? SOLUTION Round off each number to 1 s.f 508 + 291 500 + 300 = 800
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:18 AM EXAMPLE 2 221 x 397 Estimate : SOLUTION Round off the numbers to 1 s.f 200 x 400 80000 EXAMPLE 3 A market woman wanted to buy 290 yams at ₦93.Find her : (a) Estimate cost. (b) actual cost.
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:18 AM SOLUTION (a) Round off the numbers to 1 s.f 290 x ₦ 93 300 x 90 = ₦27000 (estimate cost) (b) 290 x ₦ 93 = ₦26970 (actual cost)
YR 7: WK 10 ESTIMATIONS AND APPROXIMATIONS Evaluation 8/9/2023 10:24:18 AM Question 1 A school has 21 classes. One of the 2nd year classes has 34 students. Estimate the number of students in the school. Question 2 A boy bought 62 oranges at $1.80 each. Find the estimate cost. Question 3 598 + 791? What is the approximate answer to Question 4 ������������������ × ������������ ������������ Find the approximate value of :
YR 7: WK 10 TOPIC: ESTIMATION AND APPROXIMATIONS 8/9/2023 10:24:18 AM The common units of length(i.e km, m,cm, mm) mass (i.e tonne, kg, g ) capacity (i.e cl,ml) and time (hour, min, seconds ) are widely used. The most common unit for length are millimeter(mm) centimeter (cm). Meter(m) and centimeter for short length and the higher units (meter and kilometer) for larger distances. The common units of mass are the gramme(g), kilogramme kg and tonne (t). The common units of capacity and the milliliter (ml) centiliter (cl) and liter (l) as unit length, we use the lower units for smaller quantities. It is important to be able to choose the most appropriate meter units of measurement to use. For example to measure small distances. millimeter (mm) and centimeters are used. To measure a large distance metres (m) a kilometers (km) are used. For example; i. to measure the distance between Lagos and Benin City, we use km. ii. to measure the height of a man, we use meters and centimeter. iii. to measure the time it will take to run 200m, we use seconds etc.
YR 7: WK 10 TOPIC: ESTIMATIONS AND APPROXIMATIONS 8/9/2023 10:24:19 AM EXAMPLES 1) State the metric units at length you would use to measure the following; (a) length of your classroom (b) length of your fingernail ANS . (a) m (b) mm 2) State the appropriate metric units of mass (weight) you would use to measure the following; (a) your weight (b) the weight of a diary. ANS . (a) kg (b) g 3) State the appropriate metric unit capacity you would use to measure the following; (a). the amount of water in a glasscup(b) the amount of medicine in a tea spoon.ANS (a) ml (b) ml
YR 7: WK 10 ESTIMATIONS AND APPROXIMATIONS Evaluation 8/9/2023 10:24:19 AM Question 1 State the metric units at length you would use to measure the following; (a) length of your classroom (b) length of your fingernail State the appropriate metric units of mass (weight) you would use to measure the Question 2 following; (a) your weight (b) the weight of a diary. Question 3 State the appropriate metric unit capacity you would use to measure the following; a. the amount of water in a glass cup b. the amount of medicine in a tea spoon
PHIDEL GROUP OF SCHOOLS, LAGOS Any Questions?
