Grade 5
Grade 8 US Common Core Mathematics Curriculum
Grade 8 Mathematics Curriculum In Grade 8, instructional time should focus on three critical areas: (1) Formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving ...
Grade 7 US Common Core Mathematics Curriculum
Grade 7 Mathematics Curriculum In Grade 7, instructional time should focus on four critical areas: (1) Developing an understanding of and applying proportional relationships; (2) Developing an understanding of operations with rational numbers and ...
Grade 6 US Common Core Mathematics Curriculum
Grade 6 Mathematics Curriculum In Grade 6, instructional time should focus on four critical areas: (1) Connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) Completing an ...
Grade 5 US Common Core Mathematics Curriculum
Grade 5 Mathematics Curriculum In Grade 5, instructional time focuses on three critical areas: (1) Developing fluency with the addition and subtraction of fractions, and developing an understanding of the multiplication and division of fractions in ...
What is Fraction Scaling?
Fractions: Fractions Scaling Fractions scaling is just a fancy way to say resize or resizing. In our real world, sometimes we need to scale or resize several things like photograph, maps etc. FOLLOW THE ATTACHED ARTICLE TO UNDERSTAND FRACTIONS AND ...
What Are Fractions?
Fractions John had a chocolate which had 12 pieces. He ate 1 piece. How much of the chocolate is left with John? We can see, the chocolate is divided into 12 parts of which 1 part was eaten by John. So, 11 out of 12 parts is left with him. We can ...
How does Simplification in Algebra Work?
Simplification Algebra contains numbers as well as alphabetic symbols. When this algebraic expression is simplified, the resultant expression is found which is simpler and shorter than the original one. However, there is no standard procedure to do ...
How Do You Add or Subtract Algebraic Terms?
Addition and Subtraction of Algebraic Terms Addition in Algebra Let us understand this topic with an example. Mike has 20 more chocolate candies than Steve. Then exactly how many chocolate candies does Mike have? We shall denote Steve’s candies by ...
What are Algebraic Expressions?
Algebraic Expressions Introduction: An operator is a symbol that shows a mathematical operation. For example, the symbols, “+”, “-”, “*”, “/” ; describe what we want to do with the values, wherever above symbols are present. A term is either a ...
What is Basic Algebra?
Basic Algebra: Introduction Variables, Constants, Coefficients There are multiple branches of mathematics. The one in which we study numbers is called arithmetic. The branch of mathematics in which we study shapes is called geometry. Algebra is the ...
5th Grade, Module 19: What is Algebra?
ALGEBRA Algebra is a branch of study in mathematics that deals with relations and operations. We know that a mathematical expression uses mathematical symbols instead of words. For example, the words ‘twenty-eight increased by five’, will be shown as ...
5th Grade, Module 18: What are Circles, Triangles, and Nets in Math?
CIRCLES, TRIANGLES AND NETS Geometry is a branch of mathematics concerned with questions about shape, size, relative position of figures, and the properties of space. It is all about shapes and their properties. In this chapter of geometry, we will ...
How do you Graph Ordered Pairs?
Graphing Ordered Pairs A lot of the geometric shapes and figures you have learned thus far will eventually have formulas assigned to them as you delve into the world of algebra and more advanced geometry. In order for those formulas to make physical, ...
What Are the Basic Elements of Geometry?
Geometry Basic Elements: A lot of the geometric shapes and figures you have learned thus far will eventually have formulas assigned to them as you delve into the world of algebra and more advanced geometry. In order for those formulas to make ...
5th Grade, Module 17: What are Lines and Planes?
LINES AND PLANES Lines and planes are basic topics covered in Geometry till now. However, we will expand our theory to angles. Angles and lines are important not only in theory but in practical life be it in the field of architecture or astronomy. In ...
5th Grade, Module 16: What is Area and Volume?
AREA AND VOLUME Area and volume is a very vast topic to cover. In real life, we come across discussions related to area covered by a building or capacity of a container. The volume of a material of metal shows how precious the metal is. Therefore, it ...
How do you Plot Metric Data Through Line Plots?
Plotting Metric Data: Line Plots Now that we know different types of metric data and operations we can perform with them, we need to know how to plot the metric data. There are many ways to graph and plot data, but for now we are going to focus on ...
How Does the Addition of Metric Measures Work?
Addition of Metric Measures Metric measures are added in the same way as we add whole numbers or decimals. We arrange the digits in columns as per their unit and then add as required. Let us consider an example. Example- Add 4 km 9 hm 3 m 5 cm, 3 km ...
What are Measurements of Capacity?
Measurement of Capacity The maximum amount that something can hold is called it’scapacity. The standard unit of capacity is litre. Millilitre, centilitre, decilitre are smaller unit used to measure smaller capacity, litre is commonly used to measure ...
What are Measurements of Weight?
Measurement of Weight Standard unit of weight is kilogram. We commonly use grams and kilograms to measure weight. Gram is the basic/standard unit of weight which is written as ‘g’. All units of weight are related to each other. We measure small ...
What are Measurements of Length?
Measurement of Length We measure small lengths in cm and mm and large lengths (i.e. distances) in m and km. Standard unit of length is ‘Meter’ which is written in short as ‘m’. 1 m length is divided into 100 equal divisions. Each division is known as ...
5th Grade, Module 15: What are Metric Measures?
METRIC MEASURES Metric measures refer to the concepts relating to the meters or measurements. It relates to the measurement of distance, mass and capacity. We use these measures in daily life when we say 500m to Allahabad, 30cm Ruler, 1kg Mangoes, ...
How is Temperature Related to Math?
Temperature Till now we have learned various types of measurements such length, weight, capacity and time. But none of these measurements can be used to find how hot or cold any object is. Temperature is another important aspect we refer to in our ...
5th Grade, Module 14: How does Temperature Relate to Math?
TEMPERATURE Temperature is a very common term that we use in our daily life directly or indirectly whenever we say that today’s temperature is too high or the ice-cream is too cold or while we measure our body temperature. In this chapter we will ...
How is Time Related to Math?
We often use the following phrases- classroom time table break time time of each period time to go to school school over time time to sleep time to go to play The common thing that we can see here is the word ‘time’. Let us learn more about the ...
5th Grade, Module 13: How does Time relate to Math?
TIME Time is a vital concept of our life as nothing is more valuable than time. Though it is an easy chapter, we will learn- 24-hour clock time vs 12-hour clock time; The units of time and conversion from one unit to another; Time duration and ...
What is a Bill?
BILL of Purchase a.k.a “BILL”: Sometimes we go to the market to buy various items like potatoes, fruits, vegetables, clothes etc. in different quantity. The shopkeeper gives us articles and we make the payment to him of the total cost of these ...
5th Grade, Module 12: What is a Bill in Math?
BILL of Purchase a.k.a BILL By reading the chapter’s name the very first thing comes to our mind is the money we pay. When we go to restaurants, purchase grocery for home or buy stationary for school, we pay the bill at the end. Bills are an ...
5th Grade, Module 11: What is the Unitary Method?
UNITARY METHOD Unitary method is the most basic application used in our everyday life. This is because its application is based on variations. It does not have any formula. It is about the concept and the proper use of addition and multiplication. ...
5th Grade, Module 10: What is Simple Interest?
SIMPLE INTEREST When we see “4% interest on car loans”, “3% EMI rate”, etc. on banners or in advertisements, that 4% and 3% is called the interest. There are two branches of calculating interest: Simple Interest and Compound Interest. In this ...
What is Profit or Loss in terms of Percentage?
Profit or Loss in Percentages? We can define profit or loss in two ways- In terms of absolute amount- This is the method we studied just now where profit or loss is defined in monetary value. In terms of percentage- This is the method we will study ...
What is a Profit and a Loss?
Profit & Loss We often come across these newspaper headlines- Company X shut down because of a heavy loss Film XYZ released last week made a huge profit on the first day of its release. What do they signify? What is meant by profit and loss? Profit ...
5th Grade, Module 9: What are Profits and Losses?
PROFIT AND LOSS We often hear and use the term and concept of profit and loss in our everyday life. For example, a shopkeeper sells a pen at Rs.6 whereas it cost him Rs.5. then the shopkeeper is making a profit of Rs.1. Profit and Loss chapter is an ...
5th Grade, Module 8: What are Averages?
AVERAGE We often use the term ‘average’ in places like ‘the average height of the students in my class is 132cm’, ‘In the last exam, my average marks were 92’, ‘the average attendance of class in January was 52 students out of 60’ and so on. In this ...
5th Grade, Module 7: What are Percentages?
Percentages We often hear “Flat 40% off”, “Loan at 10% interest rate”, “Secured 90% in exams” and so on. But what does “%” mean? In this chapter we will understand percentages and learn how calculating percentages can help us in daily life. After ...
What are Roman Numerals?
Roman Numerals Roman Numerals & How They Began Historians believe Roman Numerals began as a tally system. Shepherds on the hills and in the fields around Rome would cut marks into sticks to keep track of how many sheep or goats were in their care. ...
How Do You Round Off Numbers?
Rounding off Numbers Rounding off a number to nearest tens When we round off the units place it is called estimating a number to nearest tens. If the number at units place is below 5, it is rounded off to 0 i.e. the lower tens. If the number at units ...
5th Grade, Module 6: More on Number Systems and Rounding?
More about Numbers There exist other number systems as well, apart from Hindu-Arabic (the one we use in general). One such commonly used number system is the Roman numeral system. In this chapter, we will learn to read, write and convert numbers from ...
How do you Divide Large Numbers?
Division of Large Numbers Division of two numbers can be treated as repeated subtraction. It is subtracting the smaller number from the greater number repeatedly till you reach zero or get a remainder. Examples- (a) 20 ÷ 4 = 5 20 – 4 – 4 – 4 – 4 – 4 ...
How do you Add or Subtract Decimals?
Addition and Subtraction of Decimals Addition Adding decimals is a simple and same method of adding any other number. To add decimals, we follow these steps: Convert the given decimals to like decimals Write the decimals in column in alignment with ...
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