| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 12 - Maths After College 2/3 | Info | Go |
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Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
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| 2 | Volume | Solving Problems about Volume - Part 1. | Info | Go |
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Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms. |
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| 3 | Volume | Solving Problems about Volume - Part 2. | Info | Go |
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Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit. |
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| 4 | Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation. |
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| 5 | Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation. |
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| 6 | Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation. |
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| 7 | Number problems | Problems with numbers. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy. |
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| 8 | Money | Problems involving money | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with money. |
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| 9 | Length | Problems with length. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with length. |
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| 10 | Mass | Problems with mass. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with mass. |
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| 11 | Uniform motion | Average speed | Info | Go |
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Objective: On completion of the lesson the student will be able to convert units for speed, distance and time. |
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| 12 | Uniform motion | Using subscripted variables | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, distance and time. |
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| 13 | Uniform motion | Uniform motion with equal distances | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, equal distances and time. |
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| 14 | Uniform motion | Uniform motion adding the distances | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, adding distances for total distance and time. |
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| 15 | Uniform motion | Uniform motion with unequal distances | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, unequal distances and time. |
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| 16 | Uniform motion | Uniform motion of all types | Info | Go |
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Objective: On completion of the lesson the student will use all types of subscripted variables for calculations to determine speed, distance and time. |
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| 17 | Logic | Inductive and deductive reasoning | Info | Go |
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Objective: On completion of this lesson the student will understand and use the terms hypothesis, conclusion, inductive and deductive. |
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| 18 | Logic | Definition and use of counter examples | Info | Go |
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Objective: On completion of this lesson the student will be able to create counter examples to statements. |
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| 19 | Statistics | Frequency distribution table | Info | Go |
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Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table. |
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| 20 | Statistics | Frequency histograms and polygons | Info | Go |
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Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons. |
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| 21 | Statistics | Relative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to collect, display and make judgements about data. |
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| 22 | Statistics | The range. | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table. |
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| 23 | Statistic-probability | The mode | Info | Go |
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Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
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| 24 | Statistic-probability | The mean | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column. |
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| 25 | Statistic-probability | The median | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
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| 26 | Statistic-probability | Cumulative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
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| 27 | Statistic-probability | Calculating the median from a frequency distribution | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
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| 28 | Statistic-probability | Probability of Simple Events | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the probability of simple events. |
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| 29 | Statistic-probability | Rolling a pair of dice | Info | Go |
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Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously. |
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| 30 | Statistic-probability | Experimental probability | Info | Go |
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Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial. |
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| 31 | Statistic-probability | Tree diagrams - not depending on previous outcomes | Info | Go |
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Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes. |
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| 32 | Statistic-probability | Tree diagrams - depending on previous outcomes | Info | Go |
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Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes. |
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| 33 | Statistic-probability | The complementary result .. | Info | Go |
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Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved. |
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| 34 | Statistic-probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |
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Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both. |
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| 35 | Statistic-probability | Binomial Theorem. | Info | Go |
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Objective: On completion of this lesson the student will use Pascal's triangle and the binomial theorem to write the expansion of binomial expressions raised to integer powers. |
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| 36 | Statistic-probability | Binomial probabilities using the Binomial Theorem | Info | Go |
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Objective: On completion of the lesson the student will be able to solve certain types of probability questions using the binomial theorem |
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| 37 | Statistics - grouped data | Calculating mean, mode and median from grouped data | Info | Go |
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Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values. |
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| 38 | Statistics using a calculator | Statistics and the student calculator | Info | Go |
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Objective: On completion of the lesson the student will be capable of using a scientific calculator in statistics mode to calculate answers to statistical problems. |
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| 39 | Statistics - Range and dispersion | Range as a measure of dispersion | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the range and using it in decision making. |
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| 40 | Statistics - Spread | Measures of spread | Info | Go |
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Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator. |
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| 41 | Statistics - Standard deviation | Standard deviation applications | Info | Go |
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Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean. |
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| 42 | Statistics - Standard deviation | Normal distribution | Info | Go |
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Objective: On completion of the lesson the student will be able to use the standard deviation of a normal distribution to find the percentage of scores within ranges. |
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| 43 | Statistics - Interquartile range | Measures of spread: the interquartile range | Info | Go |
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Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range |
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| 44 | Statistics | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |
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Objective: On completion of the lesson the student will be familiar with vocabulary for statistics including quartiles, mode, median, range and the representation of this information on a Box and Whisker Plot. |
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| 45 | Statistics | Scatter Plots | Info | Go |
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Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these. |
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| 46 | Sequences and Series | General sequences. | Info | Go |
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Objective: On completion of the lesson the student will be able to work out a formula from a given number pattern and then be able to find particular terms of that sequence using the formula. |
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| 47 | Sequences and Series | Finding Tn given Sn. | Info | Go |
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Objective: On completion of the lesson the student will understand the concept that the sum of n terms of a series minus the sum of n minus one terms will yield the nth term. |
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| 48 | Arithmetic Progression | The arithmetic progression | Info | Go |
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Objective: On completion of the lesson the student will be able to test if a given sequence is an Arithmetic Progression or not and be capable of finding a formula for the nth term, find any term in the A.P. and to solve problems involving these concepts. |
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| 49 | Arithmetic Progression | Finding the position of a term in an A.P. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve many problems involving finding terms of an Arithmetic Progression. |
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| 50 | Arithmetic Progression | Given two terms of A.P., find the sequence. | Info | Go |
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Objective: On completion of the lesson the student will be able to find any term of an Arithmetic Progression when given two terms |
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| 51 | Arithmetic Progression | Arithmetic means | Info | Go |
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Objective: On completion of the lesson the student will be able to make an arithmetic progression between two given terms. This could involve finding one, two, or even larger number of arithmetic means. |
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| 52 | Arithmetic Progression | The sum to n terms of an A.P. | Info | Go |
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Objective: On completion of the lesson the student will understand the formulas for the sum of an Arithmetic Progression and how to use them in solving problems. |
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| 53 | Geometric Progression | The geometric progression. | Info | Go |
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Objective: On completion of the lesson the student will be able to test if a given sequence is a Geometric Progression or not and be capable of finding a formula for the nth term, find any term in the G.P. and to solve problems involving these concepts. |
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| 54 | Geometric Progression | Finding the position of a term in a G.P. | Info | Go |
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Objective: On completion of the lesson the student will understand how to find terms in a geometric progression and how to apply it different types of problems. |
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| 55 | Geometric Progression | Given two terms of G.P., find the sequence. | Info | Go |
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Objective: On completion of this lesson the student will be able to solve all problems involving finding the common ratio of a Geometric Progression. |
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| 56 | Sequences and Series-Compound interest | Compound interest | Info | Go |
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Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods. |
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| 57 | Exam | Exam - Grade 12 - Maths After College 2/3 | Info | Go |
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Objective: Exam |
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