I'm a certified K-8th teacher in the State of Washington. I follow the California Dept of Education's Mathematics Common Core standards on what is expected for a student from K through 8th grade, and the California Dept of Education's guidelines for Pre-K. Please see below for the standards that are expected in the different grade levels. I am also open to using the time as a Homework Helper instead, helping them with their homework or teaching them concepts parents may not understand or have the time to help with. Just let me know if you want homework help; specific concepts taught and practiced/mastered, or for me to follow the Common Core Standards to teach them math. 

This is a one-on-one tutoring class so, we will be progressing at the level your child is able to pace themselves at with one-on-one instruction but making sure they actually understand and successfully complete the concepts we work on so they build a great foundation for further mathematics studies. Right now, this is open to Pre-K through 6th grade but I may have openings in the future for 7th and 8th as well.

Also, if parents want more than a 30-minute weekly session, you can sign up for as many as you want in a week...or multiple ones in a day. The sessions are designed as 30 minutes long so that students get a break, even if they sign up for two back-to-back classes.

Here is an overview of topics we'll be covering based on the age and ability of your child. Students who are advanced will move on to more appropriate concepts. The Pre-K information is from the California Dept of Education's standards. The K-8th summaries are the Common Core Standard overviews for the state of California. 

Pre-K: The mathematics foundations cover the following five strands:
Number Sense, which includes an understanding of counting, number relationships, and operations
Algebra and Functions (Classification and Patterning), which focuses on sorting and classifying objects and recognizing and understanding simple, repeating patterns
Measurement, which includes comparison and ordering
Geometry, which focuses on the properties of objects (shape, size, position) and the relation of objects in space
Mathematical Reasoning, which addresses how young children use mathematical thinking to solve everyday problems

Kindergarten Overview: 
Counting and Cardinality
 Know number names and the count sequence.
 Count to tell the number of objects.
 Compare numbers.
Operations and Algebraic Thinking
 Understand addition as putting together and adding to, and 
understand subtraction as taking apart and taking from.
Number and Operations in Base Ten
 Work with numbers 11–19 to gain foundations for place value.
Measurement and Data
 Describe and compare measurable attributes.
 Classify objects and count the number of objects in categories.
Geometry
 Identify and describe shapes.
 Analyze, compare, create, and compose shapes

1st Grade: 
Operations and Algebraic Thinking
 Represent and solve problems involving addition and subtraction.
 Understand and apply properties of operations and the relationship between addition and subtraction.
 Add and subtract within 20.
 Work with addition and subtraction equations.
Number and Operations in Base Ten
 Extend the counting sequence.
 Understand place value.
 Use place value understanding and properties of operations 
to add and subtract.
Measurement and Data
 Measure lengths indirectly and by iterating length units.
 Tell and write the time.
 Represent and interpret data.
Geometry
 Reason with shapes and their attributes

2nd Grade: Operations and Algebraic Thinking
 Represent and solve problems involving addition and 
subtraction.
 Add and subtract within 20.
 Work with equal groups of objects to gain foundations for 
multiplication.
Number and Operations in Base Ten
 Understand place value.
 Use place value understanding and properties of operations 
to add and subtract.
Measurement and Data
 Measure and estimate lengths in standard units.
 Relate addition and subtraction to length.
 Work with time and money.
 Represent and interpret data.
Geometry
 Reason with shapes and their attributes

3rd Grade: Operations and Algebraic Thinking
 Represent and solve problems involving multiplication and 
division.
 Understand the properties of multiplication and the relationship 
between multiplication and division.
 Multiply and divide within 100.
 Solve problems involving the four operations, and identify 
and explain patterns in arithmetic.
Number and Operations in Base Ten
 Use place value understanding and properties of operations 
to perform multi-digit arithmetic.
Number and Operations—Fractions
 Develop an understanding of fractions as numbers.
Measurement and Data
 Solve problems involving measurement and estimation of 
intervals of time, liquid volumes, and masses of objects.
 Represent and interpret data.
 Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
 Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area 
measures.
Geometry
 Reason with shapes and their attributes.

4th Grade: Operations and Algebraic Thinking
 Use the four operations with whole numbers to solve problems.
 Gain familiarity with factors and multiples.
 Generate and analyze patterns.
Number and Operations in Base Ten
 Generalize place value understanding for multi-digit whole 
numbers.
 Use place value understanding and properties of operations 
to perform multi-digit arithmetic.
Number and Operations—Fractions
 Extend understanding of fraction equivalence and ordering.
 Build fractions from unit fractions by applying and extending 
previous understandings of operations on whole numbers.
 Understand decimal notation for fractions, and compare 
decimal fractions.
Measurement and Data
 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
 Represent and interpret data.
 Geometric measurement: understand concepts of angles and measure angles.
Geometry
 Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

5th Grade: Operations and Algebraic Thinking
 Write and interpret numerical expressions.
 Analyze patterns and relationships.
Number and Operations in Base Ten
 Understand the place value system.
 Perform operations with multi-digit whole numbers and with 
decimals to hundredths.
Number and Operations—Fractions
 Use equivalent fractions as a strategy to add and subtract 
fractions.
 Apply and extend previous understandings of multiplication 
and division to multiply and divide fractions.
Measurement and Data
 Convert like measurement units within a given measurement 
system.
 Represent and interpret data.
 Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Geometry
 Graph points on the coordinate plane to solve real-world and mathematical problems.
 Classify two-dimensional figures into categories based on their properties

6th Grade: Ratios and Proportional Relationships
 Understand ratio concepts and use ratio reasoning to solve 
problems.
The Number System
 Apply and extend previous understandings of multiplication 
and division to divide fractions by fractions.
 Compute fluently with multi-digit numbers and find common 
factors and multiples.
 Apply and extend previous understandings of numbers to 
the system of rational numbers.
Expressions and Equations
 Apply and extend previous understandings of arithmetic 
to algebraic expressions.
 Reason about and solve one-variable equations and 
inequalities.
 Represent and analyze quantitative relationships between 
dependent and independent variables.
Geometry
 Solve real-world and mathematical problems involving area, surface area, and volume.
Statistics and Probability
 Develop an understanding of statistical variability.
 Summarize and describe distributions.

You can also go to this website to see more details about each concept listed in the overviews: https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf