Mathematics Laboratory for Grades 1 to 12
Welcome to the Math Laboratory, where every Math problem gets solved with fun.
Course Overview:
Description: this course prepares learners with a strong foundation in mathematics helping them grow confidence in mathematics while solving questions with learned skills.
This laboratory helps fill gaps and teach students the core principles of mathematics in an easy and fun way helping every student identify his or her genius. Kids struggling with different aspects of Mathematics or word problems can be carefully assessed and identified and helped to become shining stars with numbers. The class is engaging, and tutor-led, but students have the chance to ask questions and express themselves.
We allow all students to get a free first session for proper assessment of knowledge level so that proper placement can happen before full learning commences.
LEARNING GOALS
- Grade 1 learners will be able to recognize equal numbers of objects, number words for 0 – 29. We take it to 50
- Recognize ordinal numbers; count 0 – 20
- Add within word problems and sentences
- Students will be able to use the Order Property for Addition; count on 1 and on 2; use a number line; add zero, near doubles, and doubles
- Students Communicate shapes Counting forward up to 150.
- Students add and subtract word problems.
- Learners will solve addition facts – sums up to 20.
- Students will add a one-digit number to a two-digit number – with regrouping
- Special tricks to solve addition quickly
Learners will know how to represent quantities using words and natural numbers
Students will know
Students will know the protocols involved in reporting cybercrime incidents and actions to take
Students will understand confidentiality as a principle and confidentiality of Data
Students will be able to explain and determine the integrity of Data and Information
Learners will explore data, and understand the concept of data availability
Students will understand and apply authentication of data as a
Identify the digits representing thousands, hundreds, tens, and ones based on place in a natural number.
Relate a number, including zero, to its position on the number line.
Decompose quantities into groups of 100s, 10s, and 1s.
Count within 1000, forward and backward by 1s, starting at any number.
Skip count by 20s, 25s, or 50s, starting at 0.
Skip count by 2s and 10s, starting at any number.
Determine the value of a collection of coins or bills of the same denomination by skip counting.
Model even and odd quantities by sharing and grouping.
Describe a quantity as even or odd.
Partition a set of objects by sharing or grouping, with or without remainders.
Estimate quantities using benchmarks.
Model equality and inequality between two quantities, including with a balance.
Compare and order natural numbers.
Describe a quantity as less than, greater than, or equal to another quantity.
Students investigate addition and subtraction within 100.
Visualize 100 as a composition of multiples of 10 in various ways.
Compose a sum in multiple ways, including with more than two addends.
Recall and apply addition number facts, with addends to 10, and related subtraction number facts.
Investigate strategies for addition and subtraction of two-digit numbers.
Add and subtract numbers within 100.
Verify a sum or difference using inverse operations.
Determine a missing quantity in a sum or difference, within 100, in a variety of ways.
Solve problems using addition and subtraction of countable quantities or measurable lengths.
Students interpret part-whole relationships using unit fractions.
Model a unit fraction by partitioning a whole object or whole set into equal parts, limited to 10 or fewer equal parts.
Compare different unit fractions of the same whole, limited to denominators of 10 or less.
Compare the same unit fractions of different wholes, limited to denominators of 10 or less.
Model one whole, using a given unit fraction, limited to denominators of 10 or less.
- Multiplication and Division.
- Fractions on a Number Line.
- Measurement and Data.
- Geometry.
- Word Problems.
- Time to the Minute.
- Scaled Bar and Picture Graphs
- Area and Perimeter
- Rounding off of numbers
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston
Grade 4
o Add and subtract numbers within 10,000 including decimal numbers, using standard procedures (algorithms)
o Multiply and divide 3-digit natural numbers by one-digit natural numbers, using standard procedures (algorithms)
o Classify quadrilaterals and triangles using angle and side measurements
o Measure and calculate the area of rectangles
o Represent and interpret data in various graphs
o And many more topics
Grade 5
o Add and subtract numbers within 1,000,000 including decimal numbers, using standard procedures (algorithms)
o Multiply 3-digit natural numbers by two-digit natural numbers, using standard procedures (algorithms)
o Add and subtract fractions with common denominators
o Write and evaluate algebraic expressions
o Classify shapes using symmetry
o Calculate area and perimeter of rectangles
o And many more topics
Grade 6
o Add, subtract, multiply and divide using standard procedures (algorithms) to solve problems
o Multiply fractions by natural numbers
o Calculate area and volume of Shapes
o Solve algebraic equations of
o Collect, graph and interpret data
o And many more topics
Grade 7
- Number and Operations
- Algebra
- Geometry, Geometric shapes and Angles
- Measurement
- Data Analysis and Probability
- Adding and Subtracting Rational Numbers
- Multiplying and Dividing Rational Numbers
- Expressions
- Equations and Inequalities
- Ratios and Proportion
- Percentages
- Addition and Subtraction of Positive Fractions and Mixed Numbers
- Addition and Subtraction of Integers
- Linear Relations
- Area
- Probability
- Tessellations and Transformations
- Algebra Video and learning
- Integers and temperature
- Ratios- Exploring the Powers of 10
- Linear Equations
- Similarity and Congruence
- Diameter and Circumference of Circles
GRADE 8
- Review of multiplication and division
- Perfect squares and square roots
- Estimating square roots of numbers that are not perfect squares
- Visuals of square roots/perfect squares – area and number lines
- Converting fractions, decimal numbers, and percentages
- Understanding percentages greater than 100
- Rate and ratio
- Equivalent rates
- Identifying proportional and non-proportional relationships in various situations
- Determining the value of a missing value in a ratio
- Converting mixed numbers and improper fractions
- Simplifying fractions
- Adding, subtracting, multiplying and dividing fractions using models and rules
- Adding and subtracting integers using numerous strategies – zero pairs, models
- Multiplying and dividing integers using rules and area models
- Multiplying fractions using repeated addition and number lines
- Word problems for all basic concepts for students to apply their understanding
- 4 Unit Tests to review all learning areas
- Determining pattern rules to extend patterns
- Basics of linear relationships (two-variable relations)
- Identifying linear relationships displayed as graphs and in tables of values
- Creating tables of values that represent patterns
- Creating graphs from tables of values
- Determining linear equations that represent patterns
- Representing linear equations using ordered pairs
- Graphing ordered pairs to display linear equations
- Determining the missing values in ordered pairs based on linear equations and pictorial
- Patterns
- Solving problems arising in real-life situations using linear equations
- Using models to solve problems in the form of: ax = b, x/a = b, ax + b = c, x/a + b = c, a(x + b) = c
- Representing real-life situation as linear equations in the form of: ax = b, x/a = b, ax + b = c, x/a + b = c, a(x + b) = c
- 3 Unit Tests to cover each aspect of Patterns, Equations, and Coding
- Use the Pythagorean theorem to determine if a triangle is a right triangle
- Use the Pythagorean theorem to calculate the length of a side on a right triangle
- Drawing 3D objects using nets
- Construct nets that represent 3D objects
- Represent 3D objects by drawing them as nets on a grid
- Determine the surface area of rectangular prisms, triangular prisms and cylinders
- Use nets to calculate the surface area of 3D objects
- Calculate the area of circles and semi-circles
- Calculate the volume of rectangular prisms, triangular prisms, and cylinders
- Use the area of the base of 3D objects to calculate volume
- Drawing top, front, and side views of objects
- Draw objects using top, front, and side views of objects
- Create 3D objects using top, front, and side views
- Understanding of congruency of polygons
- Use of mapping rules to determine new coordinates after a transformation – translations, rotations, and reflections
- Translations, reflections, and rotations of up to 360 degrees on a Cartesian plane
- Performing multiple transformations of 2D shapes on a Cartesian plane
- Comparing different types of graphs that display the same data to identify the strengths and weaknesses of different types of graphs
- Identifying the advantages and disadvantages of different types of graphs (bar graphs, circle graphs, pictographs, line graphs and double-bar graphs)
- Interpreting different types of graphs
- Creating a variety of graphs, including circle graphs and other types
- Determining Mean Median Mode and Data sets
- Determining the impact of adding or removing Outliers , within a data set
- Finding the missing value in a data set using the mean
- Drawing conclusions about different sets of data
- Thinking critically about misleading graphs (bar graphs, circle graphs, pictographs, line graphs and double-bar graphs)
- Creating misleading graphs by using different scales and line breaks
- Using fractions, decimals, and percentages to represent the probability of multiple independent events
- Understanding the difference between theoretical and experimental probability
- Comparing theoretical and experimental probabilities of independent event
- Using Tree and diagrams to represent independent events
- Using Venn Diagram to represent probabilities and help solve probability problems
- Multiplication and Division
- Fractions on a number line
- Students predict the relative size of solutions in addition, subtraction, multiplication, and division of whole numbers
- Students will master addition, subtraction, and multiplication of fractions, decimals, and mixed numbers
TOPICS WE COVER ACROSS GRADES ARE:
- Counting, writing, and number sequencing
- Addition and subtraction
- Multiplication and division
- Fractions and decimals
- Order of operations
- Positive and negative numbers
- Solving equations
- Graphs
- Algebra, from elementary to advanced (algebraic expressions, linear equations, inequalities, functions, quadratic equations
- Trigonometry and logarithms
- Calculus
- Probability and statistics
Teachers Expertise:
Our tutors and coaches are well vetted, and seasoned with many years of classroom experience teaching kids of different ages and backgrounds. We adopt the easiest ways and methodologies for our learners. Class projects will bring all the learning home
Students Supply List:
Students will require a Laptop, good internet connection, headphones, pen and paper. Other resources will be provided to students in class. Students might want to get workbooks, texts and helpful materials. Others resources will be shared in class.
Parental Guidance:
Parents should encourage students to do constant practice as this is the quickest way to climb and excel in maths.Mathematics is a language and we can all learn it in a fun way. Materials, workbooks, and texts might be needed by students during the course
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