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Middle School Math Curriculum 

Grade 6 Mathematics

 

Readiness:

• Review of the Previous grade

 

Geometry transformations:

• Geometry Transformations without Matrices: Mixed and Combined Transformations

 

Percentages:

• One Quantity as a Percentage of Another

 

Algebra – Basic:

• Substitution into Algebraic Expressions

 

Time:

• Average speed

 

Uniform motion:

• The Speed Formula
• Using Subscripted Variables
• Uniform Motion With Equal Distances

 

Geometry part 1:

• Complementary and Supplementary Angles
• Angle Sum of a Triangle
• Exterior angle theorem
• Measuring Angles
• Adjacent Angles
• Vertically Opposite Angles

 

Measurement – Advanced volume:

• Finding the volume of prisms

 

Decimals:

• Multiplying decimals by 10, 100 and 1000

 

Probability:

• Rolling a pair of dice
• The Complementary Result
• Tree diagrams: depending on previous outcomes

 

Grade 7 Mathematics

 

Readiness:

• Review of the Previous grade

 

Standard/Scientific notation:

• Scientific notation with larger numbers
• Scientific notation with small numbers
• Changing scientific notation to numerals

 

Indices/Exponents:

• Adding indices when multiplying terms with the same base
• Negative Indices
• Subtracting indices when dividing terms with the same base

 

Series and sequences part 2:

• Compound Interest

 

Absolute value:

• Evaluating Absolute Value Expressions
• Absolute Value Equations

 

Number sets:

• Number Sets and Their Members
• Addition and Multiplication Properties for Real Numbers
• Transformations That Produce Equivalent Equations

 

Algebra – Basic:

• Solving Equations containing Addition and Subtraction
• Algebraic fractions resulting in negative Indices
• Solving Equations Containing Binomial Expressions
• Inequalities

 

Algebraic equations:

• Solving two step equations

 

Geometry-parabola:

• The parabola: to describe properties of a parabola from its equation

 

Graphs part 2:

• Graphing cubic curves

 

Co-ordinate geometry part 1:

• The Gradient

 

Coordinate Geometry-straight line:

• The straight line.

 

Problem solving:

• Problem Solving Strategies
• Word Problems with Length
• Word Problems with Volume/Capacity

 

Uniform motion:

• The Speed Formula
• Using Subscripted Variables
• Uniform Motion With Equal Distances
• Uniform Motion Adding the Distances
• Uniform motion with unequal distances
• Uniform Motion Problems Where the Rate is Constant

 

Measurement – Advanced area:

• Area of a Trapezium
• Area of a Rhombus
• Area of Regular Polygons and Composite Figures

 

Measurement – Advanced volume:

• Finding the volume of prisms
• Volume of a Cylinder and Sphere
• Volume of Pyramids and Cones

 

Geometry part 2:

• Congruent triangles: Tests 3 and 4
• Proofs and Congruent Triangles

 

Geometry-constructions:

• Geometric constructions

 

Geometry – angles:

• To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra

 

Geometry-congruence:

• Congruent triangles, Test 1 and 2

 

Geometry part 3:

• Points, Lines and Planes
• Angle Bisector Construction and its Properties
• Circumcenter and Incenter
• Orthocentre and Centroids
• Midsegments

 

Geometry transformations:

• Geometry Transformations without Matrices: Translation
• Geometry Transformations without Matrices: Rotation

 

Pythagoras:

• Pythagoras’ Theorem: Finding the Hypotenuse
• Using Pythagorean Triples to Identify Right Triangles
• Calculating the Hypotenuse of a right-angled Triangle
• Calculating a Leg of a right-angled Triangle

 

Co-ordinate geometry part 2:

• Transformations: Reflections

 

Surface area:

• Surface Area of a Cylinder and Sphere
• Surface Area of Composite Solids

 

Grade 8 Mathematics

 

Readiness:

• Review of the Previous grade

 

Algebra-highest common factor:

• Highest common factor

 

Factors by grouping:

• Factors by grouping.

 

Scientific notation:

• Scientific notation with larger numbers
• Scientific notation with small numbers
• Changing scientific notation to numerals

 

Surds:

• Introducing surds

 

Time, distance, speed:

• Average speed

 

Absolute value or modulus:

• Solving for the variable

 

Simultaneous equns:

• Simultaneous equations
• Elimination method
• Elimination method part 2
• Applications of simultaneous equations

 

Algebra-factorising:

• Simplifying easy algebraic fractions

 

Factorisation:

• Factorisation of algebraic fractions including binomials.
• Expansions leading to the difference of two squares

 

Algebra- formulae:

• Equations resulting from substitution into formulae.
• Changing the subject of the formula.

 

Sequences and Series:

• General sequences.
• Finding Tn given Sn.

 

Arithmetic Progression:

• The arithmetic progression

 

Surface area:

• Surface area of pyramids
• Surface area of cones

 

Volume:

• Finding the volume of prisms
• Volume of a cylinder and sphere.
• Volume of pyramids and cones.
• Composite solids

 

Geometry:

• To identify collinear points, coplanar lines and points in 2 and 3 dimensions

 

Geometry-angles:

• Adjacent angles
• Complementary and supplementary angles
• Vertically opposite angles
• Angles at a Point.
• Parallel Lines.
• To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra

 

Geometry-triangles:

• Angle sum of a triangle
• Exterior angle theorem

 

Geometry-polygons:

• Angles of regular polygons

 

Trigonometry-compass:

• Bearings – the compass

 

Trig complementary angles:

• Complementary angle results

 

Geometry-constructions:

• Geometric constructions
• Angle bisector construction and its properties (Stage 2)
• Circumcentre and incentre (Stage 2)
• Orthocentre and centroids (Stage 2)

 

Geometry-locus:

• Constructions and loci – single condition
• Constructions and loci – multiple conditions

 

Transformations:

• Special transformations – reflections, rotations and enlargements.

 

Translations:

• Transformations – reflections

 

Geometric transformations:

• Geometry transformations without matrices: reflection (Stage 2)
• Geometry transformations without matrices: translation (Stage 2)
• Geometry transformations without matrices: rotation (Stage 2)
• Geometry transformations without matrices: dilation or enlargement (Stage 2)
• The definition and concept of combined transformations resulting in an equivalent single transformation.

 

Pythagoras:

• Pythagorean triples
• Find the hypotenuse Part 2
• Proofs of Pythagoras theorem

 

Statistic-probability:

• Calculating the median from a frequency distribution
• Calculating mean, mode and median from grouped data
• Range as a measure of dispersion
• Measures of spread
• Frequency distribution table
• Relative frequency
• Tree diagrams – depending on previous outcomes
• Frequency histograms and polygons
• Cumulative frequency
• Measures of spread: the interquartile range
• Stem and Leaf Plots along with Box and Whisker Plots
• Scatter Diagrams

 

Get Ready to learn everything about Middle School Math

If you are in between 6th to 8th grades in your school, you are most likely in your middle school. 

Here math is one of the key subjects and will open doors for you to do a variety of operations that can serve you as important life skills. Whether you are running your business, cooking a meal, or driving your car, you can leverage the skills you learn here.

Here you will learn about numbers less than zero. Yes, they exist and are called “negative numbers”. The next time you check the weather prediction of some of the cold cities, observe them mentioning things like “- 2 degrees”.

Did you know that there is a term for describing how big a piece of land is? It is called the “area” of the land. If the land is of a rectangular shape, all you need to do is multiply the length and the breadth of it. If the land is 10 meters long and 5 meters broad, its area is 10 x 5 = 50 square meters.

You thought math is all about numbers? Enter pre-algebra and learn the concept of variables and find the value of “x”. For example, you know that 2 + 3 = 5, if you are given 2 + 3 = x, you would know that x = 5.

In these grades, you will have the chance to study higher arithmetic, geometry, and the basics of algebraic concepts.

 

What stops you from excelling at middle-grade math?

If a student has done well at elementary math and is paying attention to middle grades math, he/she should be doing fine. But this is not the case with a huge number of students.

Students’ problems with solving math problems can be different - boredom, poor understanding of basics, not being systematic with studying, and even getting influenced by others who declare it as difficult.

Do you relate to any of these issues? Well, let us tell you that these are common issues and we can help you resolve them.

 

Here’s how TutorEye can make middle school math your strength

Our middle school math tutor makes sure that they make the lessons interesting and palatable to each specific student’s needs. So, you will be in safe hands.

With live tutoring, it becomes easy and you can share your difficulties without any hesitation. Our tutors are willing to resolve all your queries and guide you where you have been lagging behind. To make studying math organized, they can even make lesson plans for you.

You have the liberty to decide when you want to study and for how long. With our up-to-date whiteboard, you can upload your questions and solve them together with your tutor. You can even use some of the advanced features like graphs and math symbols to make learning seamless.

 

How to start learning from a middle school math tutor?

You can get the right tutors that teach middle school math from us as we are known as one of the best math websites for middle school. The process is very simple. Choose your dates, flexibility, and plan according to your convenience. It requires you to follow the steps that follow:

Sign Up- Visit our website and sign up within a few clicks. You will be welcomed to our site and the all tutors section.

Review Plans- Next you can take a look at the different plans we offer to our students. Select the option you find suitable.

Fill the request form and hire a tutor of your choice- Now, you can provide us the details of what you need help with and when in a small form on our website. And relax. We’ll get back to you with a tutor who is the best match for your needs.

 

 

Frequently Asked Questions

Question 1: What do middle schoolers learn in math?

Middle school math curriculum is about taking forward your knowledge from the elementary math classes where you learned about the basic operations and preparing you for the more complex math in high school, i.e. Algebra, Trigonometry, Statistics, and  Calculus. In middle school, you would learn about fractions, negative numbers, inequalities, learning equations, graphing coordinates, drawing simple shapes like circles and triangles, the Pythagorean theorem, etc.

 

Question 2: What are the levels of math in middle school?

The classes are designed as per the developmental level of students of different ages focused on middle school math curriculum. You will get exposure to concepts that would build you up for algebra and geometry. In the 6th grade, you can learn about the variables, proportions, fractions, etc. The 7th grade will have topics like inequalities and the volume of different shapes. In the 8th grade, you can learn about graphing, linear functions, pre-algebra topics, and the Pythagoras theorem.

 

Question 3: How to make math more interesting in middle school?

Middle school math can become easy and interesting if it is understood in the correct way. For it, a personalized tutor can be of help. He/she can understand the learning style of an individual student as well as the learning gaps. The tutor can accordingly use a few interesting tactics that appeal to the student. It can range from easy videos to activity-based learning, but it largely depends on what suits the individual student the best.

 

Question 4: How to improve math scores in middle school?

To improve your math score, it is important to practice a lot and complete your math homework. Ask your teachers, parents, or friends when you get stuck for help in moving forward. If they are not available, you can look for some amazing math websites for middle school just like TutorEye. They can help you develop your math skills and coach you to write your exams through quizzes and mock tests.

 

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