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Grade 10 Mathematical Literacy Term 2Module 3 page 47 – 66 (BOOK 1)Day 1 (Tuesday)Theory notes on pg47:Graphs give a visual representation of a relationship between two or more variables. A graph tells a story or gives a particular message. Numerical data is either discrete or continuous. Discrete data is data that consists only of certain definite values. Within certain restrictions, there is only a finite number of possible values. These values can be any real numbers. For examples, shoe sizes give discrete data. Within the range to 5 to 14, the only possible values are 5; 5 1/2 ; 6; 6 1/2 ; 7; 7 ? etc.Continuous data is data that can have any value within certain restrictions. Within the restrictions an infinite number of values are possible. Data describing mass is an example of continuous data. There is an infinite number of possibilities for the mass of an object, even if there are restrictions. E.g. weight being 1,235g. Time is also an example of continuous data. Time can be measured to the nearest hour, minute, second, millisecond and so on.Unit 1: Making sense of graphs that tell a story pg 48Theory notes: Graphs can be used to calculate rates of change. For example, the average speed travelled can be calculated from a graph of distance against time. Maximum point:Minimum point:*Go through the example on pg 48*Go through the example on pg 49*Go through the example on pg 50*Do Activity 3.1 on pg 51Day 2 & 3 (Wednesday & Thursday)Unit 2: Patterns, relationships and representations Graphs clearly show patterns or relationships between variables.*Look at the line graph on top of pg 52When two variables are in direct proportion, and a graph is drawn to show the relationship between the two variables, the result is a straight line. However, the line is not horizontal. It has a non-zero slope or gradient depending on the non-zero quotient (slope) of the two variables. *Look at the table and graph on pg 52The variables x and y are in direct proportion to each other. The independent carriable is the item you can control.The dependent variable is the item over which you have no control. the y-intercept is the place or the value where the graph cuts the y-axis.All straight-line graphs have the general equation: y=mx+c where m represents the slope or gradient of the straight line, and c represents the y-intercept.*Read the info below the graph at the bottom of pg 52*Go through example on pg 53*Go through example on pg 54A graph representing variables that are in indirect proportion, is curved and does not pass through the origin. *Go through example on pg 55The general formula for a graph representing two variables in indirect proportion is: xy=k where k is a constant (CONSTANT VALUE). This graph is called a hyperbola.NB: if two variables x and y are in indirect proportion, their product xy always has the SAME CONSTANT VALUE.*Go through and write down the equation example at the bottom on pg 55*Do Activity 3.2 pg 56 &57Day 4 (Friday)Unit 3: Representations of relationships in tables, equations and graphs Theory notes on pg 58Independent variable:Dependent variable: The independent variable is on the x-axis and the dependent variable on the y-axis *Go through the example table, and plotting graph on pg 58*Go through BOTH examples on pg 59*Go through example on pg 60*Go through example on pg 61*Do Activity 3.3 on pg 61 - 63Day 5 (Monday)*Do Assessment 3 on pgs 65 – 66 - CHECKDay 6 (Tuesday)Module 6 page 91 – 101 (BOOK 2)Unit 1: Measuring length and distance Theory notes on pg 92:Length is the distance between two points along a straight or curved line. The main units of length are:Millimeter(mm), used to measure small lengths such as the length of a grain of riceCentimeter (cm), used for medium lengths, such as the length of your cat’s tailMetre (m), used for larger distances, such as the length of a dolphinKilometre (km), used for much larger distances, such as the length of South Africa’s coast line*Do Activity 6.1 on pg 93Day 7 (Wednesday)Unit 2: Measuring areaTheory notes on pg 94:The area of a two-dimensional shape is a measure of how much two-dimensional space is covered by the shape.The main units of area are:Square millimeter (mm2), used for small areas, such as the area of a simcard for cellphoneSquare centimeter (cm2), used for medium areas, such as the area of this pageSquare meters (m2), used for larger surfaces, such as the area of a hockey fieldSquare kilometer (km2), used for much larger surfaces, such as the area of a province. *Look at the additional information given on pg 94*Go through example on pg 94*Do Activity 6.2 on pg 95Day 8 (Thursday)Unit 3: Measuring volume and capacityTheory notes from pg 96:The volume of a three-dimensional shape is a measure of the amount of space it occupies. The amount of space inside a container or dam is called its capacity.The main units of volume and capacity are:Cubic millimeter (mm3), used to measure very small volumes such as drops of medicineCubic centimeter (cm3 or cc), used to measure larger volumes such as the quantity of milk needed to bake a cake. One cm3, or once cc, is also equal to one milliliter (ml)The litre (l) equal to 1000 cm3 and used to measure still larger volumes such as the volume of the water in a hot-water cylinderThe cubic meter (m3), used for very larger volumes such as the volume of water in a dam. One m3 is equal to 1000 l or one kiloliter (kl)The cubic kilometer (km3) used for enormous volumes such as the volume of the Earth*Copy the measurements from the bottom of the page e.g. 1 teaspoon = 5 ml*Do Activity 6.3 on pg 97Day 9 (Tuesday 14 April)Unit 4: Measuring massTheory notes from pg 98:The mass of an object is a measure of the quantity of matter in an object or how heavy the object is.The main units of mass are:Milligram (mg), used to measure extremely small masses, such as the mass of an antGram (g), used to measure small masses, such as the ingredients needed to bake a cakeKilogram (kg), used to measure larger masses, such as the mass of a personTon (t), used to measure very large masses, such as the mass of an elephant*Do Activity 6.4 on pg 99Day 10 (Wednesday 15 April)Unit 5: Measuring temperatureTemperature is measured in degrees Fahrenheit (°F) or degrees Celsius (°C).°F=1,8 ×x°C+32°C=x°F-32÷1,8NB Notes:Water freezes at 0 °CWater boils at 100 °CThe sun has a surface temperature of 6 000 °C*Do Activity 6.5 on pg100Day 11 (Wednesday 16 April)*Do Assessment 6 on pg 102 - CHECK ................
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